Pith Number

pith:LJZW6NHT

pith:2003:LJZW6NHT7BXWQ7HY3526GIM34P

not attested not anchored not stored refs pending

The proof of Birman's conjecture on singular braid monoids

Luis Paris

arxiv:math/0306422 v2 · 2003-06-30 · math.GR · 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{LJZW6NHT7BXWQ7HY3526GIM34P}

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	2026-05-18T02:38:00.312362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a736f34f3f86f687cf8df75e3219be3ce3ee7adcb7a3d1af7f7814da52feeed

Aliases

arxiv: math/0306422 · arxiv_version: math/0306422v2 · doi: 10.48550/arxiv.math/0306422 · pith_short_12: LJZW6NHT7BXW · pith_short_16: LJZW6NHT7BXWQ7HY · pith_short_8: LJZW6NHT

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/LJZW6NHT7BXWQ7HY3526GIM34P \
  | 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: 5a736f34f3f86f687cf8df75e3219be3ce3ee7adcb7a3d1af7f7814da52feeed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f516fe2735d11423bed08b962136ce7b66341fe14a6b0c678e4845814dcf7b2",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2003-06-30T09:45:33Z",
    "title_canon_sha256": "82e03e1b1597b9fdbd7fde443028a176563288b42d51d19512f97d888a6ed86e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0306422",
    "kind": "arxiv",
    "version": 2
  }
}