Pith Number

pith:6SEQWQIZ

pith:2011:6SEQWQIZL6TXJILDFKX7G736UT

not attested not anchored not stored refs pending

Ziggurats and rotation numbers

Alden Walker, Danny Calegari

arxiv:1110.0080 v4 · 2011-10-01 · math.DS · math.GR · 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{6SEQWQIZL6TXJILDFKX7G736UT}

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	2026-05-18T04:00:01.115258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4890b41195fa774a1632aaff37f7ea4f122c7d74c9565d3ed65e3ce7bb227f5

Aliases

arxiv: 1110.0080 · arxiv_version: 1110.0080v4 · doi: 10.48550/arxiv.1110.0080 · pith_short_12: 6SEQWQIZL6TX · pith_short_16: 6SEQWQIZL6TXJILD · pith_short_8: 6SEQWQIZ

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/6SEQWQIZL6TXJILDFKX7G736UT \
  | 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: f4890b41195fa774a1632aaff37f7ea4f122c7d74c9565d3ed65e3ce7bb227f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e90ed796f4df6bb980449b6a63b8a3f2bba8bde9ae0a11de525b274628cb9570",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-10-01T06:45:26Z",
    "title_canon_sha256": "4e7a7d6d3d5e58aebcdd1df529c2b451b2a85640cea4c41cfdf02c90721ba75e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0080",
    "kind": "arxiv",
    "version": 4
  }
}