Pith Number

pith:A4UA54KJ

pith:2012:A4UA54KJS5OW5IAIJF5EHR2DZI

not attested not anchored not stored refs pending

The Direction of Gravity

Eric V. Linder

arxiv:1201.5127 v1 · 2012-01-24 · astro-ph.CO · 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{A4UA54KJS5OW5IAIJF5EHR2DZI}

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

Galileon versus Quintessence: A comparative phase space analysis and late-time cosmic relevance

Receipt and verification

First computed	2026-05-18T02:56:44.571132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07280ef149975d6ea008497a43c743ca263bc13be6530e43483058ae839d1b88

Aliases

arxiv: 1201.5127 · arxiv_version: 1201.5127v1 · doi: 10.48550/arxiv.1201.5127 · pith_short_12: A4UA54KJS5OW · pith_short_16: A4UA54KJS5OW5IAI · pith_short_8: A4UA54KJ

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/A4UA54KJS5OW5IAIJF5EHR2DZI \
  | 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: 07280ef149975d6ea008497a43c743ca263bc13be6530e43483058ae839d1b88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8de76ce0fe713168c714c5b6fd76b1bc0da7fdaf96ab6ab9e9819a0d09d8ad6c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-01-24T21:09:28Z",
    "title_canon_sha256": "afbb8c79667e27fc3a64d7ac62a9bc544e670c81c81bb91362e1dcaeec29a2c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5127",
    "kind": "arxiv",
    "version": 1
  }
}