Pith Number

pith:EWXYEAZA

pith:2023:EWXYEAZAEHPHA3TWLFPMRKI7DH

not attested not anchored not stored refs pending

Positive dependence for colored percolation

Igor Pak, Nikita Gladkov

arxiv:2307.09606 v1 · 2023-07-18 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EWXYEAZAEHPHA3TWLFPMRKI7DH}

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	2026-07-05T06:32:43.412646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25af82032021de706e76595ec8a91f19fbe1b02da761fde7a55dd865377cf4ee

Aliases

arxiv: 2307.09606 · arxiv_version: 2307.09606v1 · doi: 10.48550/arxiv.2307.09606 · pith_short_12: EWXYEAZAEHPH · pith_short_16: EWXYEAZAEHPHA3TW · pith_short_8: EWXYEAZA

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/EWXYEAZAEHPHA3TWLFPMRKI7DH \
  | 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: 25af82032021de706e76595ec8a91f19fbe1b02da761fde7a55dd865377cf4ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa13c62f34df90301583c3aeb3f05a1cdba76411e10349ae662ef595bc477e3a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-07-18T20:14:16Z",
    "title_canon_sha256": "cfbcab1b51f7a67a38d68e05831b1d234a78ba7ff90f2c2421e227929ef9073a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.09606",
    "kind": "arxiv",
    "version": 1
  }
}