Pith Number

pith:A3TCZ3PO

pith:2019:A3TCZ3POVKPFBZX3V4TGIXC2KV

not attested not anchored not stored refs pending

A weak criterion of bigness for toric vector bundles

Evgeny Mayanskiy

arxiv:1907.11675 v1 · 2019-07-26 · 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{A3TCZ3POVKPFBZX3V4TGIXC2KV}

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	2026-05-17T23:39:28.282506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06e62cedeeaa9e50e6fbaf26645c5a557b8f40967d5694da5bf22c69c93f0a8d

Aliases

arxiv: 1907.11675 · arxiv_version: 1907.11675v1 · doi: 10.48550/arxiv.1907.11675 · pith_short_12: A3TCZ3POVKPF · pith_short_16: A3TCZ3POVKPFBZX3 · pith_short_8: A3TCZ3PO

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/A3TCZ3POVKPFBZX3V4TGIXC2KV \
  | 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: 06e62cedeeaa9e50e6fbaf26645c5a557b8f40967d5694da5bf22c69c93f0a8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2343b6f174a025a72b733be2d2f17ea79dec5cca1f9fc5e89457b0e0e852c210",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-07-26T16:59:01Z",
    "title_canon_sha256": "d23242141cb33e48fff759c915792d6c1f117a838713ef980acab040b3e5daa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11675",
    "kind": "arxiv",
    "version": 1
  }
}