Pith Number

pith:4GF7U3Y3

pith:2013:4GF7U3Y3PBS72PGVMGIJQTE73P

not attested not anchored not stored refs pending

On the gravitational Chern-Simons action as entropy functional for three-manifolds, and the demystification of the Ho\v{r}ava-Lifshitz gravity

R. Cartas-Fuentevilla

arxiv:1304.6678 v1 · 2013-04-24 · 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{4GF7U3Y3PBS72PGVMGIJQTE73P}

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	2026-05-18T03:27:12.378065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e18bfa6f1b7865fd3cd56190984c9fdbdbf1321fae68cb3ec7ffcf452f9180e0

Aliases

arxiv: 1304.6678 · arxiv_version: 1304.6678v1 · doi: 10.48550/arxiv.1304.6678 · pith_short_12: 4GF7U3Y3PBS7 · pith_short_16: 4GF7U3Y3PBS72PGV · pith_short_8: 4GF7U3Y3

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/4GF7U3Y3PBS72PGVMGIJQTE73P \
  | 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: e18bfa6f1b7865fd3cd56190984c9fdbdbf1321fae68cb3ec7ffcf452f9180e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10f6250ff92796fcd9bfb07130d9757fdbfb8af84bc17acaff79965b7bd7c8b2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-04-24T17:55:21Z",
    "title_canon_sha256": "cfd37357f3206792f819d2a1d91fabfe6f9eda3804966523385dee9da1b43e7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6678",
    "kind": "arxiv",
    "version": 1
  }
}