Pith Number

pith:3RPFHL7A

pith:2006:3RPFHL7AIG7TPVYGKBZ77CTDCS

not attested not anchored not stored refs pending

Invariants of Spin Networks Embedded in Three-Manifolds

Aleksandar Mikovic, Jo\~ao Faria Martins

arxiv:gr-qc/0612137 v2 · 2006-12-21 · gr-qc · hep-th · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RPFHL7AIG7TPVYGKBZ77CTDCS}

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	2026-05-18T00:44:04.328026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc5e53afe041bf37d7065073ff8a63148f93ff36f283e6b8fc5b9621bae900b7

Aliases

arxiv: gr-qc/0612137 · arxiv_version: gr-qc/0612137v2 · doi: 10.48550/arxiv.gr-qc/0612137 · pith_short_12: 3RPFHL7AIG7T · pith_short_16: 3RPFHL7AIG7TPVYG · pith_short_8: 3RPFHL7A

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/3RPFHL7AIG7TPVYGKBZ77CTDCS \
  | 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: dc5e53afe041bf37d7065073ff8a63148f93ff36f283e6b8fc5b9621bae900b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b45c4ced5f3a32d92553fbca09fd9995430d2f7f727b823456bdac0196272d0",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-12-21T17:51:02Z",
    "title_canon_sha256": "9e41dd0ccabd8524829609c383dbd419b5167d545322f14937ee2081cea7e373"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0612137",
    "kind": "arxiv",
    "version": 2
  }
}