Pith Number

pith:SG5RCM3N

pith:2015:SG5RCM3N5NVRIDYV4SDXW75TGX

not attested not anchored not stored refs pending

A polyhedral characterization of quasi-ordinary singularities

Bernd Schober, Hussein Mourtada

arxiv:1512.07507 v4 · 2015-12-23 · math.AG · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SG5RCM3N5NVRIDYV4SDXW75TGX}

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	2026-05-18T00:14:47.934770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91bb11336deb6b140f15e4877b7fb335e96c4aa6db79750d36b2e199dca1e77d

Aliases

arxiv: 1512.07507 · arxiv_version: 1512.07507v4 · doi: 10.48550/arxiv.1512.07507 · pith_short_12: SG5RCM3N5NVR · pith_short_16: SG5RCM3N5NVRIDYV · pith_short_8: SG5RCM3N

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/SG5RCM3N5NVRIDYV4SDXW75TGX \
  | 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: 91bb11336deb6b140f15e4877b7fb335e96c4aa6db79750d36b2e199dca1e77d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fb30866cdcd78fa0d8d1b6ec906755e330b88795e6deb3f05d44ecd59bc392a",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-23T15:08:58Z",
    "title_canon_sha256": "a400d57d823500b27e4c5ecc85fd82d42fd86427acb4bd999814e3c54dec45c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07507",
    "kind": "arxiv",
    "version": 4
  }
}