Pith Number

pith:AAKW7ZVQ

pith:2012:AAKW7ZVQIEIKQNTVQGIM7QTKE4

not attested not anchored not stored refs pending

Hyperbolic Components

Alfredo Poirier, John Milnor

arxiv:1205.2668 v1 · 2012-05-09 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AAKW7ZVQIEIKQNTVQGIM7QTKE4}

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	2026-05-18T03:55:47.524873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00156fe6b04110a836758190cfc26a27043d6b7fabdf77a6c05f0c64c5b2627b

Aliases

arxiv: 1205.2668 · arxiv_version: 1205.2668v1 · doi: 10.48550/arxiv.1205.2668 · pith_short_12: AAKW7ZVQIEIK · pith_short_16: AAKW7ZVQIEIKQNTV · pith_short_8: AAKW7ZVQ

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/AAKW7ZVQIEIKQNTVQGIM7QTKE4 \
  | 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: 00156fe6b04110a836758190cfc26a27043d6b7fabdf77a6c05f0c64c5b2627b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "583f410d104c179879f4a54debc4e7a02b02cc2ce82eb28a615cba3f23a1e94b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-05-09T20:40:26Z",
    "title_canon_sha256": "ad4e152e904466625221923c005172c6e4f1b38f84b9401fbc2b4041fdff25ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2668",
    "kind": "arxiv",
    "version": 1
  }
}