Pith Number

pith:VNZ5MAOR

pith:2019:VNZ5MAOR4OBCIGP3W7ESNGYS6W

not attested not anchored not stored refs pending

From Cracked Polytopes to Fano Threefolds

Thomas Prince

arxiv:1904.01077 v2 · 2019-04-01 · 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{VNZ5MAOR4OBCIGP3W7ESNGYS6W}

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	2026-05-17T23:39:24.495615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab73d601d1e3822419fbb7c9269b12f5a6a81f7e0ba0a91e057eaf27dee8f8c7

Aliases

arxiv: 1904.01077 · arxiv_version: 1904.01077v2 · doi: 10.48550/arxiv.1904.01077 · pith_short_12: VNZ5MAOR4OBC · pith_short_16: VNZ5MAOR4OBCIGP3 · pith_short_8: VNZ5MAOR

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/VNZ5MAOR4OBCIGP3W7ESNGYS6W \
  | 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: ab73d601d1e3822419fbb7c9269b12f5a6a81f7e0ba0a91e057eaf27dee8f8c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24a52a386e6a2628025e6d13bcce376b45ec2cc83d6585cdcc79c68ae14f0e66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-04-01T19:31:15Z",
    "title_canon_sha256": "28cfde70fd8b254fd882b52756e3754728b7523d5a5867a5f21102ff3b019773"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.01077",
    "kind": "arxiv",
    "version": 2
  }
}