Pith Number

pith:VRYFKZMH

pith:2016:VRYFKZMHGOEJAFP3JP7B3BCW7J

not attested not anchored not stored refs pending

Moduli of cubic surfaces and their anticanonical divisors

Jesus Martinez-Garcia, Patricio Gallardo

arxiv:1607.03697 v3 · 2016-07-13 · 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{VRYFKZMHGOEJAFP3JP7B3BCW7J}

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	2026-07-05T01:39:23.240732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac7055658733889015fb4bfe1d8456fa6fa5a8faab3926f8d0f916f64b706467

Aliases

arxiv: 1607.03697 · arxiv_version: 1607.03697v3 · doi: 10.48550/arxiv.1607.03697 · pith_short_12: VRYFKZMHGOEJ · pith_short_16: VRYFKZMHGOEJAFP3 · pith_short_8: VRYFKZMH

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/VRYFKZMHGOEJAFP3JP7B3BCW7J \
  | 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: ac7055658733889015fb4bfe1d8456fa6fa5a8faab3926f8d0f916f64b706467

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86d85047e8a47e4d812bfaec0a79ecd088beb37ce9fbe4d8ce52ced951dd1909",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-07-13T12:30:25Z",
    "title_canon_sha256": "b835d03c33cd1a3e276920910ddbbd2b07df5c2dc6ad96d0a491dae0f5015db9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03697",
    "kind": "arxiv",
    "version": 3
  }
}