Pith Number

pith:72DNILSM

pith:2004:72DNILSMDOFY5GBG5E35IQO2YI

not attested not anchored not stored refs pending

Computing Optimal Morse Matchings

Marc E. Pfetsch, Michael Joswig

arxiv:math/0408331 v1 · 2004-08-24 · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72DNILSMDOFY5GBG5E35IQO2YI}

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	2026-07-04T14:39:01.112716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe86d42e4c1b8b8e9826e937d441dac2336f3152618600eff9a23ac33aa0c616

Aliases

arxiv: math/0408331 · arxiv_version: math/0408331v1 · doi: 10.48550/arxiv.math/0408331 · pith_short_12: 72DNILSMDOFY · pith_short_16: 72DNILSMDOFY5GBG · pith_short_8: 72DNILSM

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/72DNILSMDOFY5GBG5E35IQO2YI \
  | 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: fe86d42e4c1b8b8e9826e937d441dac2336f3152618600eff9a23ac33aa0c616

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f53e41027561bb33d5c9f9a30defb64c45cbdc771245d9e23a09f8678c497ff3",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2004-08-24T13:42:31Z",
    "title_canon_sha256": "741f081f5b3425863cf0857de8237d4ea009655d110954d512a9e9cb32a79897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0408331",
    "kind": "arxiv",
    "version": 1
  }
}