Pith Number

pith:OPQGTKR2

pith:2012:OPQGTKR2LQFHDZBZWHGM3U3YYB

not attested not anchored not stored refs pending

On the geodesic hypothesis in general relativity

Shiwu Yang

arxiv:1209.3985 v2 · 2012-09-18 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPQGTKR2LQFHDZBZWHGM3U3YYB}

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	2026-05-18T01:35:05.347808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73e069aa3a5c0a71e439b1cccdd378c077154b43128529d895520ed2b5facc28

Aliases

arxiv: 1209.3985 · arxiv_version: 1209.3985v2 · doi: 10.48550/arxiv.1209.3985 · pith_short_12: OPQGTKR2LQFH · pith_short_16: OPQGTKR2LQFHDZBZ · pith_short_8: OPQGTKR2

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/OPQGTKR2LQFHDZBZWHGM3U3YYB \
  | 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: 73e069aa3a5c0a71e439b1cccdd378c077154b43128529d895520ed2b5facc28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5e5633e5e8b1dcba7f2d3d0f82baa167fa8618e92a75060267161ce2160d7f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-18T15:10:17Z",
    "title_canon_sha256": "2982a6bf7b8a0136133f0a61b4b287fe3428a27cf7fc8aa826fdf98fe221484e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3985",
    "kind": "arxiv",
    "version": 2
  }
}