Pith Number

pith:M34PM7BV

pith:2007:M34PM7BVSBOA6O4LNXH6FQW2ND

not attested not anchored not stored refs pending

Modified quantum dimensions and re-normalized link invariants

Bertrand Patureau-Mirand, Nathan Geer, Vladimir Turaev

arxiv:0711.4229 v2 · 2007-11-27 · math.QA · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M34PM7BVSBOA6O4LNXH6FQW2ND}

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.

Cited by

1 paper in Pith

A supergroup series for knot complements

Receipt and verification

First computed	2026-05-18T03:12:23.088785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66f8f67c35905c0f3b8b6dcfe2c2da68e571ee16086024cf513daa699fea6ac2

Aliases

arxiv: 0711.4229 · arxiv_version: 0711.4229v2 · doi: 10.48550/arxiv.0711.4229 · pith_short_12: M34PM7BVSBOA · pith_short_16: M34PM7BVSBOA6O4L · pith_short_8: M34PM7BV

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/M34PM7BVSBOA6O4LNXH6FQW2ND \
  | 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: 66f8f67c35905c0f3b8b6dcfe2c2da68e571ee16086024cf513daa699fea6ac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eebdeb86f0f1ad5be9b9132303a106a0d83068631200f1748e41c51bbba3a5f",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2007-11-27T11:34:17Z",
    "title_canon_sha256": "9da6b89b7b5f816520a2a67a09eacb8e61f5ba16d59de44f94a4578c42b3bf80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4229",
    "kind": "arxiv",
    "version": 2
  }
}