Pith Number

pith:5IGSN44V

pith:2008:5IGSN44VXI7W5EQHLJIZ5DJCXU

not attested not anchored not stored refs pending

Integration over Tropical Plane Curves and Ultradiscretization

Shinsuke Iwao

arxiv:0812.1873 v3 · 2008-12-10 · 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{5IGSN44VXI7W5EQHLJIZ5DJCXU}

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	2026-05-18T00:21:59.498779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea0d26f395ba3f6e92075a519e8d22bd0de8ad025d7503d2acac7d27d7628904

Aliases

arxiv: 0812.1873 · arxiv_version: 0812.1873v3 · doi: 10.48550/arxiv.0812.1873 · pith_short_12: 5IGSN44VXI7W · pith_short_16: 5IGSN44VXI7W5EQH · pith_short_8: 5IGSN44V

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/5IGSN44VXI7W5EQHLJIZ5DJCXU \
  | 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: ea0d26f395ba3f6e92075a519e8d22bd0de8ad025d7503d2acac7d27d7628904

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bbb54e5e0dd8453af078daa0a413d1c3de799d5960d0590596fab9e443f46ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-12-10T09:53:52Z",
    "title_canon_sha256": "0eff8b9b002c594a056b0e0796d1a432af999281a5a47fd8043255d3c52df409"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1873",
    "kind": "arxiv",
    "version": 3
  }
}