Pith Number

pith:RNAZ6RZP

pith:2013:RNAZ6RZP7JGYNBUYE2FC77LNWE

not attested not anchored not stored refs pending

Rationality of Euler-Chow series and finite generation of Cox rings

E. Javier Elizondo, Xi Chen, Yanhong Yang

arxiv:1302.3926 v4 · 2013-02-16 · 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{RNAZ6RZP7JGYNBUYE2FC77LNWE}

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	2026-05-18T01:36:22.357181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b419f472ffa4d868698268a2ffd6db12686ca602efda6a7ec4082a34e229b14

Aliases

arxiv: 1302.3926 · arxiv_version: 1302.3926v4 · doi: 10.48550/arxiv.1302.3926 · pith_short_12: RNAZ6RZP7JGY · pith_short_16: RNAZ6RZP7JGYNBUY · pith_short_8: RNAZ6RZP

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/RNAZ6RZP7JGYNBUYE2FC77LNWE \
  | 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: 8b419f472ffa4d868698268a2ffd6db12686ca602efda6a7ec4082a34e229b14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1070a5208007c70ab4eecc62afa5b5720a00e68ab903e69f022b89e7594396ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-02-16T03:54:55Z",
    "title_canon_sha256": "cd068b11971bb43a3d4507f9e7846873794050dea5adac9289b2d2b308841860"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3926",
    "kind": "arxiv",
    "version": 4
  }
}