Pith Number

pith:3BC6WD3H

pith:1997:3BC6WD3HQWVVNDVC2KEVIHUUEA

not attested not anchored not stored refs pending

A new approach to the word and conjugacy problems in the braid groups

Joan S. Birman (Columbia University), J.S. Lee, K.H. Ko

arxiv:math/9712211 v2 · 1997-12-02 · 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{3BC6WD3HQWVVNDVC2KEVIHUUEA}

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	2026-07-04T14:40:23.654371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d845eb0f6785ab568ea2d289541e94203a891e4366c62c17c89a10eec881ec21

Aliases

arxiv: math/9712211 · arxiv_version: math/9712211v2 · doi: 10.48550/arxiv.math/9712211 · pith_short_12: 3BC6WD3HQWVV · pith_short_16: 3BC6WD3HQWVVNDVC · pith_short_8: 3BC6WD3H

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/3BC6WD3HQWVVNDVC2KEVIHUUEA \
  | 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: d845eb0f6785ab568ea2d289541e94203a891e4366c62c17c89a10eec881ec21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d12044f06ce4435e6bae77dd437c91ceed2fa2b457f74940eb538f3b389348c5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1997-12-02T13:54:06Z",
    "title_canon_sha256": "37e95e1280aaed3c468192f8beacbadde8d66d4b333fbd73dbc80e9c56572330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9712211",
    "kind": "arxiv",
    "version": 2
  }
}