Pith Number

pith:5WGMKOQY

pith:2008:5WGMKOQYXGGSQFWXXWF4YAVIWF

not attested not anchored not stored refs pending

Stratification of Unfoldings of Corank 1 Singularities

Kevin Houston

arxiv:0807.0312 v1 · 2008-07-02 · 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{5WGMKOQYXGGSQFWXXWF4YAVIWF}

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	2026-07-04T15:12:36.864598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed8cc53a18b98d2816d7bd8bcc02a8b17cee35296441d84c8960ec49e440015e

Aliases

arxiv: 0807.0312 · arxiv_version: 0807.0312v1 · doi: 10.48550/arxiv.0807.0312 · pith_short_12: 5WGMKOQYXGGS · pith_short_16: 5WGMKOQYXGGSQFWX · pith_short_8: 5WGMKOQY

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/5WGMKOQYXGGSQFWXXWF4YAVIWF \
  | 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: ed8cc53a18b98d2816d7bd8bcc02a8b17cee35296441d84c8960ec49e440015e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "780fe7a1e23479ad91540559fc7e09dc5fcf2617f9d9641eeea644c80e05304a",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-07-02T09:56:15Z",
    "title_canon_sha256": "66c3029f80f154ebf0e218a39ce5568b243a0959f5962f615043d02cfef07004"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.0312",
    "kind": "arxiv",
    "version": 1
  }
}