Pith Number

pith:GDNODWI6

pith:2013:GDNODWI6KMY73EOE2LOKQJCD4H

not attested not anchored not stored refs pending

A Systematic Analysis of Caustic Methods for Galaxy Cluster Masses

Christopher J. Miller, Daniel Gifford, Nicholas Kern (University of Michigan)

arxiv:1307.0017 v1 · 2013-06-28 · 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{GDNODWI6KMY73EOE2LOKQJCD4H}

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.

Receipt and verification

First computed	2026-05-18T01:49:06.390732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30dae1d91e5331fd91c4d2dca82443e1db94438cb92b83d12742f148e5064a3f

Aliases

arxiv: 1307.0017 · arxiv_version: 1307.0017v1 · doi: 10.48550/arxiv.1307.0017 · pith_short_12: GDNODWI6KMY7 · pith_short_16: GDNODWI6KMY73EOE · pith_short_8: GDNODWI6

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/GDNODWI6KMY73EOE2LOKQJCD4H \
  | 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: 30dae1d91e5331fd91c4d2dca82443e1db94438cb92b83d12742f148e5064a3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8062f0fabfd615d8f02640df8aa8a97bf5e8461c5f7155b9289e4a2b3a8f39ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-06-28T20:01:03Z",
    "title_canon_sha256": "bf04ee0b94765f23fd4ce40561bb03a7e9c1f5768a125347ae6590370b56a304"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0017",
    "kind": "arxiv",
    "version": 1
  }
}