Pith Number

pith:DNDRVMAC

pith:2013:DNDRVMACBP3AVH7P44CNZ4JUVT

not attested not anchored not stored refs pending

Entropic corrections and modified Friedmann equations in the emergence of cosmic space

Fang-Fang Yuan, Yong-Chang Huang

arxiv:1304.7949 v3 · 2013-04-30 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DNDRVMACBP3AVH7P44CNZ4JUVT}

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	2026-05-18T03:13:10.265600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b471ab0020bf60a9fefe704dcf134acca37153fb4332e8e621cfb7582b4d998

Aliases

arxiv: 1304.7949 · arxiv_version: 1304.7949v3 · doi: 10.48550/arxiv.1304.7949 · pith_short_12: DNDRVMACBP3A · pith_short_16: DNDRVMACBP3AVH7P · pith_short_8: DNDRVMAC

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/DNDRVMACBP3AVH7P44CNZ4JUVT \
  | 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: 1b471ab0020bf60a9fefe704dcf134acca37153fb4332e8e621cfb7582b4d998

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "496011ce79c4163c1a19ad43a7b2691a629e0cfcf1fcaeee29b8e9d9d84404fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-04-30T10:45:35Z",
    "title_canon_sha256": "20ac79357ef77274aa4fe23cd90583a5fd026b45262bc05ce2356d19701adc5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7949",
    "kind": "arxiv",
    "version": 3
  }
}