Pith Number

pith:JPIOOKBX

pith:2017:JPIOOKBXQI5OHKIO53FNPSXO4R

not attested not anchored not stored refs pending

Hunting Vector Bundles on $\mathbb{P}^1 \times \mathbb{P}^1$

Pablo Solis

arxiv:1710.04639 v2 · 2017-10-12 · 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{JPIOOKBXQI5OHKIO53FNPSXO4R}

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	2026-05-18T00:16:36.695473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bd0e72837823ae3a90eeecad7caeee44a7aae74b3c25956e4b2b8f030478584

Aliases

arxiv: 1710.04639 · arxiv_version: 1710.04639v2 · doi: 10.48550/arxiv.1710.04639 · pith_short_12: JPIOOKBXQI5O · pith_short_16: JPIOOKBXQI5OHKIO · pith_short_8: JPIOOKBX

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/JPIOOKBXQI5OHKIO53FNPSXO4R \
  | 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: 4bd0e72837823ae3a90eeecad7caeee44a7aae74b3c25956e4b2b8f030478584

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa525bf5e8c6f81b3ff1666ada763e65cc917fe1e7563309b41678ba09d72aaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-10-12T17:50:39Z",
    "title_canon_sha256": "ea592037a69d07d2b6d8a49b12c810f7c9f33f0cf786b3e82fe77af1d30a332e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04639",
    "kind": "arxiv",
    "version": 2
  }
}