Pith Number

pith:543HFZGH

pith:2003:543HFZGHT7R5FVEUIOVIQZWPSN

not attested not anchored not stored refs pending

Toda Equations and $\sigma$-Functions of Genera One and Two

Shigeki Matsutani

arxiv:math-ph/0305008 v1 · 2003-05-04 · math-ph · math.AG · 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{543HFZGHT7R5FVEUIOVIQZWPSN}

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	2026-05-18T01:38:33.820913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef3672e4c79fe3d2d49443aa8866cf937372cdd4be55a175d16fa3b7f5dd8ac3

Aliases

arxiv: math-ph/0305008 · arxiv_version: math-ph/0305008v1 · doi: 10.48550/arxiv.math-ph/0305008 · pith_short_12: 543HFZGHT7R5 · pith_short_16: 543HFZGHT7R5FVEU · pith_short_8: 543HFZGH

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/543HFZGHT7R5FVEUIOVIQZWPSN \
  | 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: ef3672e4c79fe3d2d49443aa8866cf937372cdd4be55a175d16fa3b7f5dd8ac3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f69e7f4d4eee25caf4ceaa22fe3b4118e1717d1e910bc0a69b257f78a943aabc",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-05-04T12:03:07Z",
    "title_canon_sha256": "3ee8a8fd22e563ca2127c61d187dfa54628c19ede4ac047b4ae3f27ea54c81ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0305008",
    "kind": "arxiv",
    "version": 1
  }
}