Pith Number

pith:6HHTDH4C

pith:2010:6HHTDH4C4MDU5R2ZDGKDLWOTNZ

not attested not anchored not stored refs pending

Monoidal transforms and invariants of singularities in positive characteristic

Ang\'elica Benito, Orlando E. Villamayor

arxiv:1004.1803 v2 · 2010-04-11 · 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{6HHTDH4C4MDU5R2ZDGKDLWOTNZ}

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	2026-05-18T04:26:43.641002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1cf319f82e3074ec759199435d9d36e5d16dfad63e08b19ad84e518139e61d7

Aliases

arxiv: 1004.1803 · arxiv_version: 1004.1803v2 · doi: 10.48550/arxiv.1004.1803 · pith_short_12: 6HHTDH4C4MDU · pith_short_16: 6HHTDH4C4MDU5R2Z · pith_short_8: 6HHTDH4C

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/6HHTDH4C4MDU5R2ZDGKDLWOTNZ \
  | 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: f1cf319f82e3074ec759199435d9d36e5d16dfad63e08b19ad84e518139e61d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "085143392c595b9f6245b810423dbeed895df1d819ea48702a35a4deaa3b9677",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-04-11T12:31:29Z",
    "title_canon_sha256": "bc93678a48dc3c76f91dc04422c06fd3401105ece834bbcc2b603b94f87c6115"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1803",
    "kind": "arxiv",
    "version": 2
  }
}