Pith Number

pith:RC3AGAYT

pith:2011:RC3AGAYTWCNMJ63ASNJHVYEFOF

not attested not anchored not stored refs pending

Tropical curves and integrable piecewise linear maps

Rei Inoue, Shinsuke Iwao

arxiv:1111.5771 v2 · 2011-11-24 · math-ph · math.AG · math.MP · 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{RC3AGAYTWCNMJ63ASNJHVYEFOF}

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	2026-05-18T03:41:44.211623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88b6030313b09ac4fb6093527ae085716f2a2c49f7f365fddbd02b41024729fe

Aliases

arxiv: 1111.5771 · arxiv_version: 1111.5771v2 · doi: 10.48550/arxiv.1111.5771 · pith_short_12: RC3AGAYTWCNM · pith_short_16: RC3AGAYTWCNMJ63A · pith_short_8: RC3AGAYT

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/RC3AGAYTWCNMJ63ASNJHVYEFOF \
  | 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: 88b6030313b09ac4fb6093527ae085716f2a2c49f7f365fddbd02b41024729fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d2c2fc64378c314dbd26eb8dca3600423822606b410e6e1b4b1e1968a6c06df",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-24T14:11:20Z",
    "title_canon_sha256": "47c46a3941896b182607877514afde6c1ed90a7956374a30e909faa72048ec94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5771",
    "kind": "arxiv",
    "version": 2
  }
}