Pith Number

pith:IYJUXN7B

pith:2014:IYJUXN7B6UKPPUFKKRCV7IYOTS

not attested not anchored not stored refs pending

On $p$-adic Hard Sphere model with three states on a Cayley tree

Otabek Khakimov

arxiv:1403.4236 v1 · 2014-03-17 · math-ph · math.FA · 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{IYJUXN7B6UKPPUFKKRCV7IYOTS}

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	2026-05-18T02:55:26.290091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46134bb7e1f514f7d0aa54455fa30e9c869366ba5367d0aa394b95c8a0e9ef54

Aliases

arxiv: 1403.4236 · arxiv_version: 1403.4236v1 · doi: 10.48550/arxiv.1403.4236 · pith_short_12: IYJUXN7B6UKP · pith_short_16: IYJUXN7B6UKPPUFK · pith_short_8: IYJUXN7B

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/IYJUXN7B6UKPPUFKKRCV7IYOTS \
  | 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: 46134bb7e1f514f7d0aa54455fa30e9c869366ba5367d0aa394b95c8a0e9ef54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50de04d76a54e9a56fbf8bcad02512c18ab1184e8cf65969b1ee6eb227731826",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-03-17T03:47:11Z",
    "title_canon_sha256": "62a98e7ef03a9668fcb9dad63428a3440e0f799202729c0d014d4a4ac77f3579"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.4236",
    "kind": "arxiv",
    "version": 1
  }
}