Pith Number

pith:X6THLBAF

pith:2013:X6THLBAF5PSSC6RIUCBRDWQ2ZB

not attested not anchored not stored refs pending

Finite Type Invariants of w-Knotted Objects: From Alexander to Kashiwara and Vergne

Dror Bar-Natan, Zsuzsanna Dancso

arxiv:1309.7155 v2 · 2013-09-27 · math.GT · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X6THLBAF5PSSC6RIUCBRDWQ2ZB}

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	2026-05-18T02:52:12.401280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfa6758405ebe5217a28a08311da1ac86f17b941468b1b4b22c1f43ab228086a

Aliases

arxiv: 1309.7155 · arxiv_version: 1309.7155v2 · doi: 10.48550/arxiv.1309.7155 · pith_short_12: X6THLBAF5PSS · pith_short_16: X6THLBAF5PSSC6RI · pith_short_8: X6THLBAF

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/X6THLBAF5PSSC6RIUCBRDWQ2ZB \
  | 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: bfa6758405ebe5217a28a08311da1ac86f17b941468b1b4b22c1f43ab228086a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5041474a2bb16867a5695d82030d006749e3690ebe9b86d041234b1c69c557c",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-09-27T08:45:22Z",
    "title_canon_sha256": "c426b7cdb707fdaedbc945a73ab4b463aa40604d293bf174c1664cb2f953e81f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7155",
    "kind": "arxiv",
    "version": 2
  }
}