Pith Number

pith:GDM4M2VQ

pith:2013:GDM4M2VQA4WDXRMJ6HV5NQVXTM

not attested not anchored not stored refs pending

Stable Lengths on the pants graph are rational

Ingrid Irmer

arxiv:1310.7660 v2 · 2013-10-29 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GDM4M2VQA4WDXRMJ6HV5NQVXTM}

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	2026-05-18T03:00:25.584946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30d9c66ab0072c3bc589f1ebd6c2b79b07bfd8d8290984106ba287fc27ef20a3

Aliases

arxiv: 1310.7660 · arxiv_version: 1310.7660v2 · doi: 10.48550/arxiv.1310.7660 · pith_short_12: GDM4M2VQA4WD · pith_short_16: GDM4M2VQA4WDXRMJ · pith_short_8: GDM4M2VQ

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/GDM4M2VQA4WDXRMJ6HV5NQVXTM \
  | 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: 30d9c66ab0072c3bc589f1ebd6c2b79b07bfd8d8290984106ba287fc27ef20a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2efb1b80b9387a64f79e85578174616a917ac74855f88e0097cce86353bdbd7f",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-10-29T01:47:16Z",
    "title_canon_sha256": "c12591961f504fe07ff27d3505b286dc5be11071a719d4785790f8c0bc74d76f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7660",
    "kind": "arxiv",
    "version": 2
  }
}