Pith Number

pith:VDIQWLVU

pith:2008:VDIQWLVUKHSM3Y6TDK4LB4CSZV

not attested not anchored not stored refs pending

A tropical analogue of Fay's trisecant identity and the ultra-discrete periodic Toda lattice

Rei Inoue, Tomoyuki Takenawa

arxiv:0806.3318 v2 · 2008-06-20 · 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{VDIQWLVUKHSM3Y6TDK4LB4CSZV}

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	2026-05-18T02:15:51.305303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8d10b2eb451e4cde3d31ab8b0f052cd6561dcf7caea2214a57667b916947497

Aliases

arxiv: 0806.3318 · arxiv_version: 0806.3318v2 · doi: 10.48550/arxiv.0806.3318 · pith_short_12: VDIQWLVUKHSM · pith_short_16: VDIQWLVUKHSM3Y6T · pith_short_8: VDIQWLVU

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/VDIQWLVUKHSM3Y6TDK4LB4CSZV \
  | 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: a8d10b2eb451e4cde3d31ab8b0f052cd6561dcf7caea2214a57667b916947497

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dbd874224013b36aaea9f9ed8d60c8d964239f3d9b09d12a3ea9cab8bd5c361",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-06-20T06:16:53Z",
    "title_canon_sha256": "06ee190ba9acc7a475a0e2bbb95c15657cbf94dfa698de9ebf2b457d35a6e3b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.3318",
    "kind": "arxiv",
    "version": 2
  }
}