Pith Number

pith:TIW7FSGR

pith:2011:TIW7FSGRF5CRXXOLRTROBUCAJ5

not attested not anchored not stored refs pending

Tropical hyperelliptic curves

Melody Chan

arxiv:1110.0273 v1 · 2011-10-03 · math.CO · 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{TIW7FSGRF5CRXXOLRTROBUCAJ5}

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	2026-05-18T04:11:50.371934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a2df2c8d12f451bddcb8ce2e0d0404f54965fd08658b457f55f4fdba810f0fb

Aliases

arxiv: 1110.0273 · arxiv_version: 1110.0273v1 · doi: 10.48550/arxiv.1110.0273 · pith_short_12: TIW7FSGRF5CR · pith_short_16: TIW7FSGRF5CRXXOL · pith_short_8: TIW7FSGR

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/TIW7FSGRF5CRXXOLRTROBUCAJ5 \
  | 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: 9a2df2c8d12f451bddcb8ce2e0d0404f54965fd08658b457f55f4fdba810f0fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c9b90a292153df29459de5e598c3f2c87cc4ca6c4eca80f4feb842b3fca3534",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-03T06:29:27Z",
    "title_canon_sha256": "5e1bcfbb519ff4904a4d2966e1b7959cd814bd31c8f80f1cf0aed3b694ba0be3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0273",
    "kind": "arxiv",
    "version": 1
  }
}