Pith Number

pith:G67HT4YU

pith:2019:G67HT4YUV2MFDY5JODYIBASMU5

not attested not anchored not stored refs pending

Alignment percolation

Geoffrey R. Grimmett, Mark Holmes, Nicholas R. Beaton

arxiv:1908.07203 v2 · 2019-08-20 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G67HT4YUV2MFDY5JODYIBASMU5}

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	2026-07-05T03:40:25.927093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37be79f314ae9851e3a970f080824ca757a8cbf27aeaef542235518b6d4291a4

Aliases

arxiv: 1908.07203 · arxiv_version: 1908.07203v2 · doi: 10.48550/arxiv.1908.07203 · pith_short_12: G67HT4YUV2MF · pith_short_16: G67HT4YUV2MFDY5J · pith_short_8: G67HT4YU

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/G67HT4YUV2MFDY5JODYIBASMU5 \
  | 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: 37be79f314ae9851e3a970f080824ca757a8cbf27aeaef542235518b6d4291a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f59f8914db18e1b41fa2ce44b0353488521da1a0fec5576e034656a8aa1a8b33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-20T07:47:55Z",
    "title_canon_sha256": "702e156db042719b82d307fc91d55dc485b1521b1f6b70b863d8421919a76aee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07203",
    "kind": "arxiv",
    "version": 2
  }
}