Pith Number

pith:ENJQBQ5N

pith:2018:ENJQBQ5NT5WLIEY4XWAAHK7NL2

not attested not anchored not stored refs pending

Exact computation of the matching distance on 2-parameter persistence modules

Michael Kerber, Michael Lesnick, Steve Oudot

arxiv:1812.09085 v2 · 2018-12-21 · 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{ENJQBQ5NT5WLIEY4XWAAHK7NL2}

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	2026-05-17T23:44:58.006550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

235300c3ad9f6cb4131cbd8003abed5ea11b79d84ee706104d1cf5f295289ecb

Aliases

arxiv: 1812.09085 · arxiv_version: 1812.09085v2 · doi: 10.48550/arxiv.1812.09085 · pith_short_12: ENJQBQ5NT5WL · pith_short_16: ENJQBQ5NT5WLIEY4 · pith_short_8: ENJQBQ5N

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/ENJQBQ5NT5WLIEY4XWAAHK7NL2 \
  | 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: 235300c3ad9f6cb4131cbd8003abed5ea11b79d84ee706104d1cf5f295289ecb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01b5628260e18a829d2f0c08e194b27d332b5e85b7195715e3bb4e6803166dc9",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-12-21T12:39:24Z",
    "title_canon_sha256": "6bec7e0e663614ddb980cc47e0c6ace00438b67b895aea942d0685181ce96f05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09085",
    "kind": "arxiv",
    "version": 2
  }
}