Pith Number

pith:32L6NSMU

pith:2010:32L6NSMUCCBTNTUCIP6MVLHE5O

not attested not anchored not stored refs pending

From angled triangulations to hyperbolic structures

David Futer, Fran\c{c}ois Gu\'eritaud

arxiv:1004.0440 v2 · 2010-04-03 · 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{32L6NSMUCCBTNTUCIP6MVLHE5O}

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	2026-05-18T04:15:28.524142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de97e6c994108336ce8243fccaace4eb8464bd334df567cfc95ffcc6dd1cb502

Aliases

arxiv: 1004.0440 · arxiv_version: 1004.0440v2 · doi: 10.48550/arxiv.1004.0440 · pith_short_12: 32L6NSMUCCBT · pith_short_16: 32L6NSMUCCBTNTUC · pith_short_8: 32L6NSMU

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/32L6NSMUCCBTNTUCIP6MVLHE5O \
  | 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: de97e6c994108336ce8243fccaace4eb8464bd334df567cfc95ffcc6dd1cb502

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00f8a939619cc806354d5e863be879ef60e3453cea9eed6d592238db303e73ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-04-03T12:54:08Z",
    "title_canon_sha256": "ae5899d5ad22ff4eef5cdb291964ba124009a02264e6251a5fb866a17c6ea3ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0440",
    "kind": "arxiv",
    "version": 2
  }
}