Pith Number

pith:JDGEICY7

pith:2011:JDGEICY7WDJVPGC6G54FJV5AJN

not attested not anchored not stored refs pending

General perversities and L^2 de Rham and Hodge theorems for stratified pseudomanifolds

Francesco Bei

arxiv:1107.3972 v2 · 2011-07-20 · math.DG · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JDGEICY7WDJVPGC6G54FJV5AJN}

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	2026-05-18T03:54:15.218400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48cc440b1fb0d357985e377854d7a04b7d446c1594066e204518c596a576f148

Aliases

arxiv: 1107.3972 · arxiv_version: 1107.3972v2 · doi: 10.48550/arxiv.1107.3972 · pith_short_12: JDGEICY7WDJV · pith_short_16: JDGEICY7WDJVPGC6 · pith_short_8: JDGEICY7

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/JDGEICY7WDJVPGC6G54FJV5AJN \
  | 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: 48cc440b1fb0d357985e377854d7a04b7d446c1594066e204518c596a576f148

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f8db76ae28090630b3e815b761ecbe2cc9d900d0be9342f4687d97288bf00a3",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-07-20T13:31:38Z",
    "title_canon_sha256": "cf9c504ec5f957afc343742f8df32c870d460c5a5833250691c524324f85bfa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3972",
    "kind": "arxiv",
    "version": 2
  }
}