Pith Number

pith:EF4IIPTN

pith:2015:EF4IIPTNR32BCC3UFFPOLAC2GA

not attested not anchored not stored refs pending

Observational signatures of modified gravity on ultra-large scales

Philip Bull, Tessa Baker

arxiv:1506.00641 v3 · 2015-06-01 · 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{EF4IIPTNR32BCC3UFFPOLAC2GA}

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

1 paper in Pith

Impact and measurability of linear relativistic effects in galaxy surveys

Receipt and verification

First computed	2026-05-18T01:28:14.166103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2178843e6d8ef4110b74295ee5805a30099613f83bc7c29b3af0fc269834ab96

Aliases

arxiv: 1506.00641 · arxiv_version: 1506.00641v3 · doi: 10.48550/arxiv.1506.00641 · pith_short_12: EF4IIPTNR32B · pith_short_16: EF4IIPTNR32BCC3U · pith_short_8: EF4IIPTN

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/EF4IIPTNR32BCC3UFFPOLAC2GA \
  | 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: 2178843e6d8ef4110b74295ee5805a30099613f83bc7c29b3af0fc269834ab96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e991c4ffe847eb7d58e6dd8f414be57b53683da5c1383b33a28ed163a6ed328",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-06-01T20:00:31Z",
    "title_canon_sha256": "c646565d3d1eec1e51199982307269c9d674dfc728824e3a190f1a2d74113a40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00641",
    "kind": "arxiv",
    "version": 3
  }
}