Pith Number

pith:7RYCDMBE

pith:2015:7RYCDMBEOWXI643MRQFZKBXEPT

not attested not anchored not stored refs pending

On a notion of toric special linear systems

Joaqu\'in Moraga

arxiv:1512.09264 v3 · 2015-12-31 · 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{7RYCDMBEOWXI643MRQFZKBXEPT}

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	2026-05-18T00:21:37.940277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc7021b02475ae8f736c8c0b9506e47cf3ce0d42f2c1d6b22500e76ea0ae02c0

Aliases

arxiv: 1512.09264 · arxiv_version: 1512.09264v3 · doi: 10.48550/arxiv.1512.09264 · pith_short_12: 7RYCDMBEOWXI · pith_short_16: 7RYCDMBEOWXI643M · pith_short_8: 7RYCDMBE

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/7RYCDMBEOWXI643MRQFZKBXEPT \
  | 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: fc7021b02475ae8f736c8c0b9506e47cf3ce0d42f2c1d6b22500e76ea0ae02c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05dbd6d1f719ba56c226f71365eca144031fb5c71c2045b1ff311e359c9b2586",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-31T12:07:05Z",
    "title_canon_sha256": "79854b311c705971fd1ce8e63ddff112bfb19d89de8ca640397f711cea777b62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09264",
    "kind": "arxiv",
    "version": 3
  }
}