Pith Number

pith:P6YLGDSQ

pith:2021:P6YLGDSQ7V2DDIZST6RYZAJUSF

not attested not anchored not stored refs pending

The Density Fingerprint of a Periodic Point Set

Herbert Edelsbrunner, Mathijs Wintraecken, Philip Smith, Teresa Heiss, Vitaliy Kurlin

arxiv:2104.11046 v1 · 2021-04-22 · cs.CG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P6YLGDSQ7V2DDIZST6RYZAJUSF}

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	2026-07-05T02:52:16.120304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fb0b30e50fd7431a3329fa38c8134915129f0744608b9ef2a3b8c0e03fafb1d

Aliases

arxiv: 2104.11046 · arxiv_version: 2104.11046v1 · doi: 10.48550/arxiv.2104.11046 · pith_short_12: P6YLGDSQ7V2D · pith_short_16: P6YLGDSQ7V2DDIZS · pith_short_8: P6YLGDSQ

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/P6YLGDSQ7V2DDIZST6RYZAJUSF \
  | 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: 7fb0b30e50fd7431a3329fa38c8134915129f0744608b9ef2a3b8c0e03fafb1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cea81e427ea6b34f769ed9f5e270418c420e99e2410c010e62660ff69d72e26",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2021-04-22T13:23:32Z",
    "title_canon_sha256": "8822eaa40c14f7a8451921a195ef2d474c7a9805ed8918399c234de7e1ddf1d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.11046",
    "kind": "arxiv",
    "version": 1
  }
}