Pith Number

pith:Y7MQO5XW

pith:2012:Y7MQO5XWOAI2BJH3UZSRIQ2CTL

not attested not anchored not stored refs pending

Symmetrically reduced Galileon equations and solutions

J. Franklin, S. Deser

arxiv:1206.3217 v2 · 2012-06-14 · gr-qc · 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{Y7MQO5XWOAI2BJH3UZSRIQ2CTL}

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	2026-05-18T03:48:13.240480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7d90776f67011a0a4fba6651443429ac26f4ad83a94fd874a87dfa08287f679

Aliases

arxiv: 1206.3217 · arxiv_version: 1206.3217v2 · doi: 10.48550/arxiv.1206.3217 · pith_short_12: Y7MQO5XWOAI2 · pith_short_16: Y7MQO5XWOAI2BJH3 · pith_short_8: Y7MQO5XW

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/Y7MQO5XWOAI2BJH3UZSRIQ2CTL \
  | 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: c7d90776f67011a0a4fba6651443429ac26f4ad83a94fd874a87dfa08287f679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c0212943da616bf1d2b545a35c63cb8a576b639aba344f88aee770537e05cba",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-06-14T19:21:09Z",
    "title_canon_sha256": "421781190c6f61307aedb2d9e0d5c6ab6c1a5b6c53b3009fef2afcdc2f5fbcfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3217",
    "kind": "arxiv",
    "version": 2
  }
}