Pith Number

pith:CQWZHSOV

pith:2021:CQWZHSOVU6CIJKU4ID2I7GXUK2

not attested not anchored not stored refs pending

The Universal $\ell^p$-Metric on Merge Trees

Justin Curry, Michael Lesnick, Robert Cardona, Tung Lam

arxiv:2112.12165 v2 · 2021-12-22 · cs.CG · cs.LG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQWZHSOVU6CIJKU4ID2I7GXUK2}

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.

Cited by

2 papers in Pith

Non-Abelian and Type-A Conformal Anomalies from Euler Descent

It's All About Covers: Persistent Homology of Cover Refinements

Receipt and verification

First computed	2026-07-05T04:07:07.072291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

142d93c9d5a78484aa9c40f48f9af4568e7c7b577bf1f74a90d5f07881c7bde6

Aliases

arxiv: 2112.12165 · arxiv_version: 2112.12165v2 · doi: 10.48550/arxiv.2112.12165 · pith_short_12: CQWZHSOVU6CI · pith_short_16: CQWZHSOVU6CIJKU4 · pith_short_8: CQWZHSOV

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/CQWZHSOVU6CIJKU4ID2I7GXUK2 \
  | 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: 142d93c9d5a78484aa9c40f48f9af4568e7c7b577bf1f74a90d5f07881c7bde6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2d9faee219f5e316df4e85eb57b67caadaeeff3c6d5da52db760ea383bdec9c",
    "cross_cats_sorted": [
      "cs.LG",
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2021-12-22T19:00:41Z",
    "title_canon_sha256": "2b3449fd080c17711eb383ab5306d8355d60a3538de11b62f316e97a8c4bcac0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.12165",
    "kind": "arxiv",
    "version": 2
  }
}