Pith Number

pith:SQ4M2VJE

pith:2018:SQ4M2VJEEFC4DM2GYQ7XFBFRFO

not attested not anchored not stored refs pending

Lattice Hydrodynamics

Dennis Sullivan

arxiv:1811.00086 v1 · 2018-10-31 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SQ4M2VJEEFC4DM2GYQ7XFBFRFO}

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	2026-05-18T00:01:48.278980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9438cd55242145c1b346c43f7284b12b8b7acc38bbbbcd104e6d5cf78af9f6b0

Aliases

arxiv: 1811.00086 · arxiv_version: 1811.00086v1 · doi: 10.48550/arxiv.1811.00086 · pith_short_12: SQ4M2VJEEFC4 · pith_short_16: SQ4M2VJEEFC4DM2G · pith_short_8: SQ4M2VJE

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/SQ4M2VJEEFC4DM2GYQ7XFBFRFO \
  | 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: 9438cd55242145c1b346c43f7284b12b8b7acc38bbbbcd104e6d5cf78af9f6b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0009d040846d13a6ae0b1a1ce960794c7d2ed6877d353dc283ffe1c5c585ce50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-31T19:40:22Z",
    "title_canon_sha256": "55ee3924c590a884ee42eace377418643aa5d68e4b977560686d5bfb7aaa02b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.00086",
    "kind": "arxiv",
    "version": 1
  }
}