Pith Number

pith:WMYQLOPU

pith:2019:WMYQLOPUA6NCODN74FHVJJJAQJ

not attested not anchored not stored refs pending

Level-sets persistence and sheaf theory

Gr\'egory Ginot, Nicolas Berkouk, Steve Oudot

arxiv:1907.09759 v1 · 2019-07-23 · math.AT · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMYQLOPUA6NCODN74FHVJJJAQJ}

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	2026-05-17T23:39:50.126652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b33105b9f4079a270dbfe14f54a5208272f898fe8357ef1ff5132e7c5ef895fa

Aliases

arxiv: 1907.09759 · arxiv_version: 1907.09759v1 · doi: 10.48550/arxiv.1907.09759 · pith_short_12: WMYQLOPUA6NC · pith_short_16: WMYQLOPUA6NCODN7 · pith_short_8: WMYQLOPU

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/WMYQLOPUA6NCODN74FHVJJJAQJ \
  | 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: b33105b9f4079a270dbfe14f54a5208272f898fe8357ef1ff5132e7c5ef895fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "376eeb800fa1f28725deaf2d93b92ff3520b3dc397a7654a90bc77a4d781b7b8",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-07-23T08:44:35Z",
    "title_canon_sha256": "124f955f7ae83574af9e866f4d9b47e39b0699da70893523ede80f45fc904cb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09759",
    "kind": "arxiv",
    "version": 1
  }
}