Pith Number

pith:TBOWG7VZ

pith:2004:TBOWG7VZW4XADLEHO7SHJBTXR6

not attested not anchored not stored refs pending

The braid groups of the projective plane

Daciberg Lima Goncalves, John Guaschi

arxiv:math/0409350 v1 · 2004-09-20 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBOWG7VZW4XADLEHO7SHJBTXR6}

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	2026-05-18T02:41:32.302964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

985d637eb9b72e01ac8777e47486778fb98917664487bb63f3a12c71418a50d6

Aliases

arxiv: math/0409350 · arxiv_version: math/0409350v1 · doi: 10.48550/arxiv.math/0409350 · pith_short_12: TBOWG7VZW4XA · pith_short_16: TBOWG7VZW4XADLEH · pith_short_8: TBOWG7VZ

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/TBOWG7VZW4XADLEHO7SHJBTXR6 \
  | 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: 985d637eb9b72e01ac8777e47486778fb98917664487bb63f3a12c71418a50d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d64d989431531b10c895ad494a1c8baba4870d78fef86159bf63e9e92e5f6ce",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2004-09-20T13:08:54Z",
    "title_canon_sha256": "2bb5121b6e358d4eb828ba298827ffef9428b72162daf0ff0c85ac94b28c0bc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409350",
    "kind": "arxiv",
    "version": 1
  }
}