Pith Number

pith:T3JBVWQP

pith:2011:T3JBVWQPIM6CQBFVNCROOX6MDF

not attested not anchored not stored refs pending

On exotic affine 3-spheres

Adrien Dubouloz (IMB), David R. Finston

arxiv:1106.2900 v1 · 2011-06-15 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T3JBVWQPIM6CQBFVNCROOX6MDF}

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	2026-05-18T04:19:55.390922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ed21ada0f433c2804b568a2e75fcc196e947bbb026f1b0eb0228359d5993a87

Aliases

arxiv: 1106.2900 · arxiv_version: 1106.2900v1 · doi: 10.48550/arxiv.1106.2900 · pith_short_12: T3JBVWQPIM6C · pith_short_16: T3JBVWQPIM6CQBFV · pith_short_8: T3JBVWQP

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/T3JBVWQPIM6CQBFVNCROOX6MDF \
  | 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: 9ed21ada0f433c2804b568a2e75fcc196e947bbb026f1b0eb0228359d5993a87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0282712fe1d9f34b0277853daf41c0f351b68fcb6cdaafc10eaccf36d2296d90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-15T08:15:14Z",
    "title_canon_sha256": "09efddf42c27571e81beed748fdea4314c89db7c3e99e243959c05eab6d7bd1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2900",
    "kind": "arxiv",
    "version": 1
  }
}