Pith Number

pith:436KFOK4

pith:2010:436KFOK475FG2HFA4YZKXXMCY3

not attested not anchored not stored refs pending

Algebra, Topology and Algebraic Topology of 3D Ideal Fluids

Dennis Sullivan

arxiv:1010.2721 v1 · 2010-10-13 · math.AT · 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{436KFOK475FG2HFA4YZKXXMCY3}

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	2026-05-18T04:39:19.771844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6fca2b95cff4a6d1ca0e632abdd82c6c8a7ffad9fbee7cb5cf6c6a719fbc2f7

Aliases

arxiv: 1010.2721 · arxiv_version: 1010.2721v1 · doi: 10.48550/arxiv.1010.2721 · pith_short_12: 436KFOK475FG · pith_short_16: 436KFOK475FG2HFA · pith_short_8: 436KFOK4

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/436KFOK475FG2HFA4YZKXXMCY3 \
  | 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: e6fca2b95cff4a6d1ca0e632abdd82c6c8a7ffad9fbee7cb5cf6c6a719fbc2f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "406c1f615e216e83997097a70a09ae24cb9dfcf637022d40ab9ed4acb7dc0c39",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-10-13T18:28:24Z",
    "title_canon_sha256": "661da4972f27851d34755dfc1c5d0b286c34c3a887ff3b6ef86703713b1b486f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2721",
    "kind": "arxiv",
    "version": 1
  }
}