Pith Number

pith:C4FN7HYX

pith:2014:C4FN7HYXYRO5VJBAN2KYGCWY3N

not attested not anchored not stored refs pending

Minimal Length, Friedmann Equations and Maximum Density

Adel Awad, Ahmed Farag Ali

arxiv:1404.7825 v2 · 2014-04-30 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C4FN7HYXYRO5VJBAN2KYGCWY3N}

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

From minimal-length quantum theory to modified gravity

Receipt and verification

First computed	2026-05-18T02:49:31.441215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

170adf9f17c45ddaa4206e95830ad8db404d9db2b3e6cc5cfee49458e9606296

Aliases

arxiv: 1404.7825 · arxiv_version: 1404.7825v2 · doi: 10.48550/arxiv.1404.7825 · pith_short_12: C4FN7HYXYRO5 · pith_short_16: C4FN7HYXYRO5VJBA · pith_short_8: C4FN7HYX

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/C4FN7HYXYRO5VJBAN2KYGCWY3N \
  | 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: 170adf9f17c45ddaa4206e95830ad8db404d9db2b3e6cc5cfee49458e9606296

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "156864f059163a78a0a1ed07c591c90e0bf76684404978670df7036d40cfeda3",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-04-30T18:27:15Z",
    "title_canon_sha256": "3403f19968345e888e521c56e836bff5dda67607cee1e1f453ee29b7f4af6461"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7825",
    "kind": "arxiv",
    "version": 2
  }
}