Pith Number

pith:GCZXNL27

pith:2000:GCZXNL27KIN34KIVB3Z3IXYL7M

not attested not anchored not stored refs pending

String Partition Functions and Infinite Products

Kota Yoshioka, Toshiya Kawai

arxiv:hep-th/0002169 v4 · 2000-02-21 · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCZXNL27KIN34KIVB3Z3IXYL7M}

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	2026-05-18T02:36:13.180355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30b376af5f521bbe29150ef3b45f0bfb03332a8aee277d6f33c5ad9651dcc3b4

Aliases

arxiv: hep-th/0002169 · arxiv_version: hep-th/0002169v4 · doi: 10.48550/arxiv.hep-th/0002169 · pith_short_12: GCZXNL27KIN3 · pith_short_16: GCZXNL27KIN34KIV · pith_short_8: GCZXNL27

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/GCZXNL27KIN34KIVB3Z3IXYL7M \
  | 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: 30b376af5f521bbe29150ef3b45f0bfb03332a8aee277d6f33c5ad9651dcc3b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a55703f40573259ae92270b646c9cfa1ab086b2e474a4843a2581ec37d394373",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-02-21T16:35:28Z",
    "title_canon_sha256": "6f7995b92f8be6954cccaf1eb6530681acca3fc104fd7e8c7b5442261162efc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0002169",
    "kind": "arxiv",
    "version": 4
  }
}