Pith Number

pith:3IRCZP7E

pith:2000:3IRCZP7EPZP5Z4EWELU4V2Z5U4

not attested not anchored not stored refs pending

Knots, links and branes at large N

Cumrun Vafa, J.M.F. Labastida, Marcos Marino

arxiv:hep-th/0010102 v1 · 2000-10-12 · hep-th · 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{3IRCZP7EPZP5Z4EWELU4V2Z5U4}

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

2 papers in Pith

Monodromy defects in Chern-Simons theory and Holography

The HZ character expansion and a hyperbolic extension of torus knots

Receipt and verification

First computed	2026-07-04T16:21:04.236602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da222cbfe47e5fdcf09622e9caeb3da7387537b0de6a963f6f88c8c6923dbce7

Aliases

arxiv: hep-th/0010102 · arxiv_version: hep-th/0010102v1 · doi: 10.48550/arxiv.hep-th/0010102 · pith_short_12: 3IRCZP7EPZP5 · pith_short_16: 3IRCZP7EPZP5Z4EW · pith_short_8: 3IRCZP7E

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/3IRCZP7EPZP5Z4EWELU4V2Z5U4 \
  | 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: da222cbfe47e5fdcf09622e9caeb3da7387537b0de6a963f6f88c8c6923dbce7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fdc20ab85822c6cdab9e32783a3bbca5a255acc7912b7aed5d93bff1b4e7453",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-10-12T16:23:38Z",
    "title_canon_sha256": "70f5c7779291b7018575564f9ea1d70820aa3f8dcdd269719da8c5fb177599fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0010102",
    "kind": "arxiv",
    "version": 1
  }
}