Pith Number

pith:LNULES7L

pith:1999:LNULES7LUQ2VXGE2DFFJXRB6VA

not attested not anchored not stored refs pending

Braid pictures for Artin groups

Daniel Allcock

arxiv:math/9907194 v1 · 1999-07-30 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LNULES7LUQ2VXGE2DFFJXRB6VA}

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

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules

Receipt and verification

First computed	2026-07-04T14:41:15.474101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b68b24beba4355b989a194a9bc43ea82a8455d4a4f9406d766f4ee3bdf52ecd

Aliases

arxiv: math/9907194 · arxiv_version: math/9907194v1 · doi: 10.48550/arxiv.math/9907194 · pith_short_12: LNULES7LUQ2V · pith_short_16: LNULES7LUQ2VXGE2 · pith_short_8: LNULES7L

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/LNULES7LUQ2VXGE2DFFJXRB6VA \
  | 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: 5b68b24beba4355b989a194a9bc43ea82a8455d4a4f9406d766f4ee3bdf52ecd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e135dacbe0688fc96696e8dc5a40b72051ddd2fd7db6fd9dc856bc1de03f0cd",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1999-07-30T16:50:57Z",
    "title_canon_sha256": "97399d0f0ef00b60df233089be1be7832e6bbbe88c4822647ee9ba316cd5a54a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9907194",
    "kind": "arxiv",
    "version": 1
  }
}