Pith Number

pith:UKQB3RHC

pith:2011:UKQB3RHCKW2IKU26LZ4R2GC72Z

not attested not anchored not stored refs pending

The augmented base locus in positive characteristic

James McKernan, Mircea Mustata, Paolo Cascini

arxiv:1111.3236 v2 · 2011-11-14 · 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{UKQB3RHCKW2IKU26LZ4R2GC72Z}

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	2026-05-18T04:04:16.693529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2a01dc4e255b485535e5e791d185fd656824a60cb870541bba3d38d0d6fbd94

Aliases

arxiv: 1111.3236 · arxiv_version: 1111.3236v2 · doi: 10.48550/arxiv.1111.3236 · pith_short_12: UKQB3RHCKW2I · pith_short_16: UKQB3RHCKW2IKU26 · pith_short_8: UKQB3RHC

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/UKQB3RHCKW2IKU26LZ4R2GC72Z \
  | 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: a2a01dc4e255b485535e5e791d185fd656824a60cb870541bba3d38d0d6fbd94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31ed4289c9a6ac41d2f6f6ca6e2d54843d021c5d7a84b819649aae15a74687c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-14T14:59:03Z",
    "title_canon_sha256": "16646351a68691136a691b2578c5636f94cb0889354b4374e705d493b9bbf415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3236",
    "kind": "arxiv",
    "version": 2
  }
}