Pith Number

pith:OPMBZYSA

pith:2012:OPMBZYSANUFONOXGQYLY6WGKFI

not attested not anchored not stored refs pending

Some examples of tilt-stable objects on threefolds

Jason Lo, Yogesh More

arxiv:1209.2749 v1 · 2012-09-12 · 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{OPMBZYSANUFONOXGQYLY6WGKFI}

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	2026-05-18T03:45:41.073936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73d81ce2406d0ae6bae686178f58ca2a31b99ae2199ae93d68becd6bee60f944

Aliases

arxiv: 1209.2749 · arxiv_version: 1209.2749v1 · doi: 10.48550/arxiv.1209.2749 · pith_short_12: OPMBZYSANUFO · pith_short_16: OPMBZYSANUFONOXG · pith_short_8: OPMBZYSA

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/OPMBZYSANUFONOXGQYLY6WGKFI \
  | 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: 73d81ce2406d0ae6bae686178f58ca2a31b99ae2199ae93d68becd6bee60f944

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "534b90a4ea4a55c04c63a646626402aa59a0664f74efc67b958cdd4c5cabf607",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-12T23:07:34Z",
    "title_canon_sha256": "41ee513d169fa5e8df2cf5a27334b4fb347b45271fe8a12de151728b43f859e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2749",
    "kind": "arxiv",
    "version": 1
  }
}