Pith Number

pith:VIRITS2U

pith:2011:VIRITS2U7KFLNLGKTXG4QFVBLB

not attested not anchored not stored refs pending

On elimination of variables in the study of singularities in positive characteristic

Ang\'elica Benito, Orlando E. Villamayor

arxiv:1103.3462 v1 · 2011-03-17 · 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{VIRITS2U7KFLNLGKTXG4QFVBLB}

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	2026-05-18T04:26:33.631065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa2289cb54fa8ab6acca9dcdc816a158580929e52ec2fbc42e3ee20320382ff2

Aliases

arxiv: 1103.3462 · arxiv_version: 1103.3462v1 · doi: 10.48550/arxiv.1103.3462 · pith_short_12: VIRITS2U7KFL · pith_short_16: VIRITS2U7KFLNLGK · pith_short_8: VIRITS2U

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/VIRITS2U7KFLNLGKTXG4QFVBLB \
  | 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: aa2289cb54fa8ab6acca9dcdc816a158580929e52ec2fbc42e3ee20320382ff2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86b201f409786a65690360e9555b0a094a45d2ceb3ea1f59d1950039cdd4b531",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-17T17:16:41Z",
    "title_canon_sha256": "29a5e8733431ff9011fc1aecbff9cf97107a2f45fe933212548442116cbb416c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3462",
    "kind": "arxiv",
    "version": 1
  }
}