Pith Number

pith:XTCETIW6

pith:2012:XTCETIW6RR3I5PVR2A6MDH3GTF

not attested not anchored not stored refs pending

A lattice gas of prime numbers and the Riemann Hypothesis

Fernando Vericat

arxiv:1211.6621 v8 · 2012-11-28 · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTCETIW6RR3I5PVR2A6MDH3GTF}

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	2026-05-18T01:52:53.892945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcc449a2de8c768ebeb1d03cc19f66997c795c55d05a19084d1733aa2681175b

Aliases

arxiv: 1211.6621 · arxiv_version: 1211.6621v8 · doi: 10.48550/arxiv.1211.6621 · pith_short_12: XTCETIW6RR3I · pith_short_16: XTCETIW6RR3I5PVR · pith_short_8: XTCETIW6

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/XTCETIW6RR3I5PVR2A6MDH3GTF \
  | 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: bcc449a2de8c768ebeb1d03cc19f66997c795c55d05a19084d1733aa2681175b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f9f62572055beba9defa071e2b6f843e79a9e6621ae40872f5eec68a01ad5cb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-11-28T15:01:30Z",
    "title_canon_sha256": "aa559e8ec3fedc840dfc5a99697306b83d5c3e0569d44d8cc6f1cd5b4f231ae2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6621",
    "kind": "arxiv",
    "version": 8
  }
}