Pith Number

pith:OZCQ2YEJ

pith:2013:OZCQ2YEJDB2IW7EGTDBP6CTEV5

not attested not anchored not stored refs pending

Stratified critical points one the real Milnor fibre and integral-geometric formulas

Nicolas Dutertre (LATP)

arxiv:1307.7604 v1 · 2013-07-29 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZCQ2YEJDB2IW7EGTDBP6CTEV5}

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	2026-05-18T03:17:22.873821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76450d608918748b7c8698c2ff0a64af5d05aa207f1e80d10d241e19c131f94c

Aliases

arxiv: 1307.7604 · arxiv_version: 1307.7604v1 · doi: 10.48550/arxiv.1307.7604 · pith_short_12: OZCQ2YEJDB2I · pith_short_16: OZCQ2YEJDB2IW7EG · pith_short_8: OZCQ2YEJ

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/OZCQ2YEJDB2IW7EGTDBP6CTEV5 \
  | 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: 76450d608918748b7c8698c2ff0a64af5d05aa207f1e80d10d241e19c131f94c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89777b5e6ba1f5e961a2f91b1f441f711b9c93f418c05495bdc627e1f239faa2",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-29T14:48:37Z",
    "title_canon_sha256": "b61ea068634468b987a66012988a6c65678c79fa4d8ec05d49dc723bffc07783"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7604",
    "kind": "arxiv",
    "version": 1
  }
}