Pith Number

pith:UAKTL32P

pith:2012:UAKTL32P5K4ZTDVRMAWYARWXX4

not attested not anchored not stored refs pending

On the numerical dimension of pseudo-effective divisors in positive characteristic

Christopher Hacon, Karl Schwede, Mircea Mustata, Paolo Cascini

arxiv:1206.6521 v3 · 2012-06-27 · 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{UAKTL32P5K4ZTDVRMAWYARWXX4}

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	2026-05-18T03:21:10.627263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a01535ef4feab9998eb1602d8046d7bf2a55a6daf23d9b1a63430ef7b323c3a1

Aliases

arxiv: 1206.6521 · arxiv_version: 1206.6521v3 · doi: 10.48550/arxiv.1206.6521 · pith_short_12: UAKTL32P5K4Z · pith_short_16: UAKTL32P5K4ZTDVR · pith_short_8: UAKTL32P

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/UAKTL32P5K4ZTDVRMAWYARWXX4 \
  | 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: a01535ef4feab9998eb1602d8046d7bf2a55a6daf23d9b1a63430ef7b323c3a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5836d4df34a6e4b3dac2d79e9bf43775582fd33fe0b8a06db3d196d7e31cd140",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-27T20:49:04Z",
    "title_canon_sha256": "7c04612c4d3ae73678511c7f67a692dfd33aebf0c021ed4e9584623f5ee07c62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6521",
    "kind": "arxiv",
    "version": 3
  }
}