Pith Number

pith:EVKJDQ54

pith:2012:EVKJDQ54VBDLML3HJLZ2XG7C56

not attested not anchored not stored refs pending

Limits with braid arrangements

Matthew S. Miller, Max Wakefield

arxiv:1211.5678 v1 · 2012-11-24 · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EVKJDQ54VBDLML3HJLZ2XG7C56}

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	2026-05-18T03:40:02.296298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

255491c3bca846b62f674af3ab9be2ef801f74b0e70e930db9a7fcc81909bb06

Aliases

arxiv: 1211.5678 · arxiv_version: 1211.5678v1 · doi: 10.48550/arxiv.1211.5678 · pith_short_12: EVKJDQ54VBDL · pith_short_16: EVKJDQ54VBDLML3H · pith_short_8: EVKJDQ54

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/EVKJDQ54VBDLML3HJLZ2XG7C56 \
  | 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: 255491c3bca846b62f674af3ab9be2ef801f74b0e70e930db9a7fcc81909bb06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "974799023c3b79103f28943c5226e771e6ee7e282ad14af46f297dd03704ab78",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-11-24T15:30:59Z",
    "title_canon_sha256": "aad81ed0c842e30c49cfd97b9d9146edbbb978424d6c58da03f8c593bf1a06ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5678",
    "kind": "arxiv",
    "version": 1
  }
}