Pith Number

pith:FNZZ7DM6

pith:2011:FNZZ7DM6I3NS5LKEUFIJFYWDY4

not attested not anchored not stored refs pending

Rational curves in Fano hypersurfaces and tropical curves

Takeo Nishinou

arxiv:1108.2860 v2 · 2011-08-14 · 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{FNZZ7DM6I3NS5LKEUFIJFYWDY4}

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	2026-05-18T04:14:56.352212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b739f8d9e46db2ead44a15092e2c3c7119743d960c48f35259d4480bca495ae

Aliases

arxiv: 1108.2860 · arxiv_version: 1108.2860v2 · doi: 10.48550/arxiv.1108.2860 · pith_short_12: FNZZ7DM6I3NS · pith_short_16: FNZZ7DM6I3NS5LKE · pith_short_8: FNZZ7DM6

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/FNZZ7DM6I3NS5LKEUFIJFYWDY4 \
  | 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: 2b739f8d9e46db2ead44a15092e2c3c7119743d960c48f35259d4480bca495ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31caa32cf47668f59bb64b4981f501182bfdd18b66ba2145d264b334f42e0e5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-14T10:43:11Z",
    "title_canon_sha256": "9348ae8521f0968a70cc4208ec3ffc0730b8304c2035a0faad4bf8debc48b747"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2860",
    "kind": "arxiv",
    "version": 2
  }
}