Pith Number

pith:32D2MTUW

pith:2013:32D2MTUWPMS32XADT4P26BQKG4

not attested not anchored not stored refs pending

A geometric realization of the ultradiscrete periodic Toda lattice via tropical plane curves

Atsushi Nobe

arxiv:1312.3008 v1 · 2013-12-11 · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32D2MTUWPMS32XADT4P26BQKG4}

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	2026-05-18T00:24:32.184519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de87a64e967b25bd5c039f1faf060a370cebc10f2038840fdaa6e373e38c61c7

Aliases

arxiv: 1312.3008 · arxiv_version: 1312.3008v1 · doi: 10.48550/arxiv.1312.3008 · pith_short_12: 32D2MTUWPMS3 · pith_short_16: 32D2MTUWPMS32XAD · pith_short_8: 32D2MTUW

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/32D2MTUWPMS32XADT4P26BQKG4 \
  | 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: de87a64e967b25bd5c039f1faf060a370cebc10f2038840fdaa6e373e38c61c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "588e6d970e4f1e2a9d3d0d6167074cf5e2bebeda9242b9cf029f1b06b57b588b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2013-12-11T00:34:41Z",
    "title_canon_sha256": "f46ff43bb041a00dc036fcab56b449501902f13bf04c7b0509a50057b5c552d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3008",
    "kind": "arxiv",
    "version": 1
  }
}