Pith Number

pith:XT7TNVFF

pith:1998:XT7TNVFF7LLVQRE6C3O2CO3XJ2

not attested not anchored not stored refs pending

On Complexity of the Word Problem in Braid Groups and Mapping Class Groups

Hessam Hamidi-Tehrani

arxiv:math/9809154 v1 · 1998-09-28 · 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{XT7TNVFF7LLVQRE6C3O2CO3XJ2}

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	2026-05-18T01:05:33.768992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcff36d4a5fad758449e16dda13b774eb2ae53406466e310f2990eac90ca746e

Aliases

arxiv: math/9809154 · arxiv_version: math/9809154v1 · doi: 10.48550/arxiv.math/9809154 · pith_short_12: XT7TNVFF7LLV · pith_short_16: XT7TNVFF7LLVQRE6 · pith_short_8: XT7TNVFF

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/XT7TNVFF7LLVQRE6C3O2CO3XJ2 \
  | 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: bcff36d4a5fad758449e16dda13b774eb2ae53406466e310f2990eac90ca746e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ce71fc8e96a06d4f3125d2fe85a12b3500632523de5f9ba1817e4fb0e08d68c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1998-09-28T01:31:17Z",
    "title_canon_sha256": "53e82825e8f846178520f18d41612a0d677dcd8568e312a256db0c3f33edfa88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9809154",
    "kind": "arxiv",
    "version": 1
  }
}