Pith Number

pith:7OJBA3ZV

pith:2024:7OJBA3ZVABXTB6R4LGS22J2MQI

not attested not anchored not stored refs pending

When Do Two Distributions Yield the Same Expected Euler Characteristic Curve in the Thermodynamic Limit?

Niklas Hellmer, Tobias Fleckenstein

arxiv:2401.04580 v2 · 2024-01-09 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7OJBA3ZVABXTB6R4LGS22J2MQI}

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	2026-07-05T09:12:02.180129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb92106f35006f30fa3c59a5ad274c821238c5e394b29bf11b113deca8c28e06

Aliases

arxiv: 2401.04580 · arxiv_version: 2401.04580v2 · doi: 10.48550/arxiv.2401.04580 · pith_short_12: 7OJBA3ZVABXT · pith_short_16: 7OJBA3ZVABXTB6R4 · pith_short_8: 7OJBA3ZV

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/7OJBA3ZVABXTB6R4LGS22J2MQI \
  | 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: fb92106f35006f30fa3c59a5ad274c821238c5e394b29bf11b113deca8c28e06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dad977e1602c1b38166add208c0fe0ce698637853eddfadf89536b1fa7c9419",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-01-09T14:33:52Z",
    "title_canon_sha256": "591c90ecd254dd2b5cb183181561933f034c38cee3e4610f211331b39e071593"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.04580",
    "kind": "arxiv",
    "version": 2
  }
}