Pith Number

pith:VE4S7EH5

pith:2016:VE4S7EH5WFO667V3ITNFKWYCEP

not attested not anchored not stored refs pending

The Tau of Galaxy Clusters

Nicholas Battaglia

arxiv:1607.02442 v3 · 2016-07-08 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VE4S7EH5WFO667V3ITNFKWYCEP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

3 papers in Pith

Kinetic Sunyaev Zel'dovich velocity reconstruction from Planck and unWISE

Measurement of the galaxy-velocity power spectrum of DESI tracers with the kinematic Sunyaev-Zeldovich effect using DESI DR2 and ACT DR6

Constraints on Halo Gas Profiles from Joint kSZ and Galaxy Clustering Analysis of ACT DR6 and CMASS

Receipt and verification

First computed	2026-05-18T00:52:30.986435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9392f90fdb15def7ebb44da555b0223f4e0475ed1c6776aa09768ca46d761be

Aliases

arxiv: 1607.02442 · arxiv_version: 1607.02442v3 · doi: 10.48550/arxiv.1607.02442 · pith_short_12: VE4S7EH5WFO6 · pith_short_16: VE4S7EH5WFO667V3 · pith_short_8: VE4S7EH5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VE4S7EH5WFO667V3ITNFKWYCEP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a9392f90fdb15def7ebb44da555b0223f4e0475ed1c6776aa09768ca46d761be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f526de7eb53efeb3c20ad8064d3ca664d7ad5821e8fa68f7f10cabab79a8d7a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-07-08T16:30:55Z",
    "title_canon_sha256": "f4dae2af1260fbbbe77e706478493c3dc1f320ac74a4a8d7360520a4b3e9a9da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02442",
    "kind": "arxiv",
    "version": 3
  }
}