Pith Number

pith:C3JUYXFL

pith:2016:C3JUYXFLHUN3DFDA3EF2IOFM2M

not attested not anchored not stored refs pending

Asymptotic expansions of the hypergeometric function with two large parameters $-$ application to the partition function of a lattice gas in a field of traps

Ana-Sun\v{c}ana Smith, Jayant Pande, Mislav Cvitkovi\'c

arxiv:1602.05146 v4 · 2016-02-16 · 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{C3JUYXFLHUN3DFDA3EF2IOFM2M}

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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	2026-05-18T00:29:11.003030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16d34c5cab3d1bb19460d90ba438acd3333e84f10d875b456a32dfbe59f2f324

Aliases

arxiv: 1602.05146 · arxiv_version: 1602.05146v4 · doi: 10.48550/arxiv.1602.05146 · pith_short_12: C3JUYXFLHUN3 · pith_short_16: C3JUYXFLHUN3DFDA · pith_short_8: C3JUYXFL

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/C3JUYXFLHUN3DFDA3EF2IOFM2M \
  | 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: 16d34c5cab3d1bb19460d90ba438acd3333e84f10d875b456a32dfbe59f2f324

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "462e96be0e492cc4932f1ca0df6b3be81805fd028dfa7471be9af89cc475a1cf",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-02-16T19:32:12Z",
    "title_canon_sha256": "783a72222c1f411015af4840bfc871169d575e113edab9272340859243b18887"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05146",
    "kind": "arxiv",
    "version": 4
  }
}