Pith Number

pith:NPJ5U5QA

pith:2006:NPJ5U5QAIFU6IYTARJBFNSWDEL

not attested not anchored not stored refs pending

Integrality of quantum 3-manifold invariants and rational surgery formula

Anna Beliakova, Thang T.Q. Le

arxiv:math/0608627 v2 · 2006-08-25 · math.GT · 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{NPJ5U5QAIFU6IYTARJBFNSWDEL}

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	2026-05-18T02:54:21.977117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bd3da76004169e462608a4256cac322c33650a25cd36508fdf9e7ba568a4404

Aliases

arxiv: math/0608627 · arxiv_version: math/0608627v2 · doi: 10.48550/arxiv.math/0608627 · pith_short_12: NPJ5U5QAIFU6 · pith_short_16: NPJ5U5QAIFU6IYTA · pith_short_8: NPJ5U5QA

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/NPJ5U5QAIFU6IYTARJBFNSWDEL \
  | 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: 6bd3da76004169e462608a4256cac322c33650a25cd36508fdf9e7ba568a4404

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1e4a0d73a2df9de18d7fad9d696c3e77eba53492185b1da51a1e1bfd215731e",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-08-25T09:57:13Z",
    "title_canon_sha256": "3714f1323f5afe7e49da4261733a74ed21bc07bdf5223361f5a6712fbddb9bd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608627",
    "kind": "arxiv",
    "version": 2
  }
}