Pith Number

pith:LX2I5PQH

pith:2016:LX2I5PQHGKXVME435EYGAW7HPM

not attested not anchored not stored refs pending

$F$-singularities under generic linkage

Janet Page, Linquan Ma, Rebecca R.G., Wenliang Zhang, William Taylor

arxiv:1607.03972 v2 · 2016-07-14 · math.AC · 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{LX2I5PQHGKXVME435EYGAW7HPM}

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	2026-05-18T00:20:49.345762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5df48ebe0732af56139be930605be77b10ff9377123c17ec7d65220f1bb163b7

Aliases

arxiv: 1607.03972 · arxiv_version: 1607.03972v2 · doi: 10.48550/arxiv.1607.03972 · pith_short_12: LX2I5PQHGKXV · pith_short_16: LX2I5PQHGKXVME43 · pith_short_8: LX2I5PQH

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/LX2I5PQHGKXVME435EYGAW7HPM \
  | 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: 5df48ebe0732af56139be930605be77b10ff9377123c17ec7d65220f1bb163b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b1e5f1280826267193dd3460b1fa02ce0e0e9c54e42542d393241f6cdd7880e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-07-14T00:58:57Z",
    "title_canon_sha256": "227e85278d6184c63d002e27400c52af03e55179ab3e05c54990e6c853e0d2e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03972",
    "kind": "arxiv",
    "version": 2
  }
}