Pith Number

pith:3EGM7WOA

pith:2009:3EGM7WOAGQT7WGEV2RSSUB3JA7

not attested not anchored not stored refs pending

Abrams's stable equivalence for graph braid groups

Paul Prue, Travis Scrimshaw

arxiv:0909.5511 v2 · 2009-09-30 · 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{3EGM7WOAGQT7WGEV2RSSUB3JA7}

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	2026-05-17T23:43:57.158710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d90ccfd9c03427fb1895d4652a076907f73cdc342b25c02c317c6b6c7ad76f2d

Aliases

arxiv: 0909.5511 · arxiv_version: 0909.5511v2 · doi: 10.48550/arxiv.0909.5511 · pith_short_12: 3EGM7WOAGQT7 · pith_short_16: 3EGM7WOAGQT7WGEV · pith_short_8: 3EGM7WOA

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/3EGM7WOAGQT7WGEV2RSSUB3JA7 \
  | 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: d90ccfd9c03427fb1895d4652a076907f73cdc342b25c02c317c6b6c7ad76f2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1ea13bb74949c9d376045cf16c95c0faa0789cee07f5789cc355afd0b4d80ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-09-30T05:26:55Z",
    "title_canon_sha256": "45c69902d6287d4fba6f3929b48e725def6132baeec29774cfba85f969294dd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5511",
    "kind": "arxiv",
    "version": 2
  }
}