Pith Number

pith:IINDXU25

pith:2012:IINDXU25G2SXIXKKS2TXM6IHXL

not attested not anchored not stored refs pending

A quantitative version of the Catlin-D'Angelo-Quillen theorem

Alexis Drouot, Maciej Zworski

arxiv:1205.3248 v2 · 2012-05-15 · math.CV · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IINDXU25G2SXIXKKS2TXM6IHXL}

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	2026-05-18T02:34:52.886306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

421a3bd35d36a5745d4a96a7767907bac4dfeb2dc5a24dfda49b5113688ba8d3

Aliases

arxiv: 1205.3248 · arxiv_version: 1205.3248v2 · doi: 10.48550/arxiv.1205.3248 · pith_short_12: IINDXU25G2SX · pith_short_16: IINDXU25G2SXIXKK · pith_short_8: IINDXU25

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/IINDXU25G2SXIXKKS2TXM6IHXL \
  | 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: 421a3bd35d36a5745d4a96a7767907bac4dfeb2dc5a24dfda49b5113688ba8d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2dc98ce8476259096e27457b29f9c9d313a8ae2e062ac15ce405cf66df6b42b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-05-15T03:39:12Z",
    "title_canon_sha256": "e5960f246df94175094b2295db3b612dcef541bfe81fb0f0c063f7fcbbb4f376"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3248",
    "kind": "arxiv",
    "version": 2
  }
}