Pith Number

pith:LGQU5VVE

pith:2012:LGQU5VVEITYAOZUSNAVFEVZZEX

not attested not anchored not stored refs pending

Variational principle for gravity in the extended phase space

Pankaj Sharan

arxiv:1204.0669 v1 · 2012-04-03 · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGQU5VVEITYAOZUSNAVFEVZZEX}

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	2026-05-18T03:58:38.800529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59a14ed6a444f0076692682a52573925f30f709d5e1b67d152e419f9086564f0

Aliases

arxiv: 1204.0669 · arxiv_version: 1204.0669v1 · doi: 10.48550/arxiv.1204.0669 · pith_short_12: LGQU5VVEITYA · pith_short_16: LGQU5VVEITYAOZUS · pith_short_8: LGQU5VVE

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/LGQU5VVEITYAOZUSNAVFEVZZEX \
  | 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: 59a14ed6a444f0076692682a52573925f30f709d5e1b67d152e419f9086564f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aad7811631d23970061df87437e7f93c750f47c27c0964d373999b2056cd2c7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-04-03T12:00:28Z",
    "title_canon_sha256": "83d75e491ec772138ce5e86cbd65f0337c14234ab33613ce534baf4d514c0da9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0669",
    "kind": "arxiv",
    "version": 1
  }
}