Pith Number

pith:JD62ZLJN

pith:2012:JD62ZLJN4KNVQKHNI24WJA5MRE

not attested not anchored not stored refs pending

Sculptures in S^3

Henry Segerman, Saul Schleimer

arxiv:1204.4952 v2 · 2012-04-23 · math.HO · 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{JD62ZLJN4KNVQKHNI24WJA5MRE}

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	2026-05-18T03:55:24.535888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48fdacad2de29b5828ed46b96483ac8939c3f285881b6bde2ebd07273d8a7856

Aliases

arxiv: 1204.4952 · arxiv_version: 1204.4952v2 · doi: 10.48550/arxiv.1204.4952 · pith_short_12: JD62ZLJN4KNV · pith_short_16: JD62ZLJN4KNVQKHN · pith_short_8: JD62ZLJN

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/JD62ZLJN4KNVQKHNI24WJA5MRE \
  | 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: 48fdacad2de29b5828ed46b96483ac8939c3f285881b6bde2ebd07273d8a7856

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "969a6611dd0d818a58e2ae8ff56376b18ed8feb0920af46a6ef27021c88a86ec",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.HO",
    "submitted_at": "2012-04-23T00:20:30Z",
    "title_canon_sha256": "181330e56385a70d7d12bf2318d17fe0f4bfbae1144292ab73a97c7f45f0aded"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4952",
    "kind": "arxiv",
    "version": 2
  }
}