Pith Number

pith:QJ3YFAXQ

pith:2012:QJ3YFAXQQUTNQ44AJNINZDJZSG

not attested not anchored not stored refs pending

Nonlinear Dynamics of Parity-Even Tricritical Gravity in Three and Four Dimensions

Luis Apolo, Massimo Porrati

arxiv:1206.5231 v2 · 2012-06-22 · 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{QJ3YFAXQQUTNQ44AJNINZDJZSG}

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	2026-05-18T03:46:30.760854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82778282f08526d873804b50dc8d3991ae603ccc396c498711c8d32721920ec4

Aliases

arxiv: 1206.5231 · arxiv_version: 1206.5231v2 · doi: 10.48550/arxiv.1206.5231 · pith_short_12: QJ3YFAXQQUTN · pith_short_16: QJ3YFAXQQUTNQ44A · pith_short_8: QJ3YFAXQ

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/QJ3YFAXQQUTNQ44AJNINZDJZSG \
  | 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: 82778282f08526d873804b50dc8d3991ae603ccc396c498711c8d32721920ec4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ef133954765f082281e3c0cbbf0e30f9f82d93f3b40bf692a2ffc90600223a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-06-22T19:23:09Z",
    "title_canon_sha256": "268ed3a98e0240dec075a83cbadd8744c19b05a56169d6f4493323fef1fd9778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5231",
    "kind": "arxiv",
    "version": 2
  }
}