Pith Number

pith:QQ6EUSPE

pith:2013:QQ6EUSPEEWRWE3NID46AWCKEGI

not attested not anchored not stored refs pending

Singularities with the highest Mather minimal log discrepancy

Ana Reguera, Shihoko Ishii

arxiv:1304.7012 v1 · 2013-04-25 · 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{QQ6EUSPEEWRWE3NID46AWCKEGI}

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	2026-05-18T03:27:02.806884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

843c4a49e425a3626da81f3c0b09443224b34b55e6c6e3c3dbd848df39556cf7

Aliases

arxiv: 1304.7012 · arxiv_version: 1304.7012v1 · doi: 10.48550/arxiv.1304.7012 · pith_short_12: QQ6EUSPEEWRW · pith_short_16: QQ6EUSPEEWRWE3NI · pith_short_8: QQ6EUSPE

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/QQ6EUSPEEWRWE3NID46AWCKEGI \
  | 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: 843c4a49e425a3626da81f3c0b09443224b34b55e6c6e3c3dbd848df39556cf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd4186ba45668140dfb97ef65c5a90a2832a007fd8fcec95a5a2aa2f8b890dd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-25T20:02:24Z",
    "title_canon_sha256": "806b840c4cd69c660abc5cf4a70e2bbc7f6c20d4dfa7369abafaec7444428aa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7012",
    "kind": "arxiv",
    "version": 1
  }
}