Pith Number

pith:LI5IPMKL

pith:2025:LI5IPMKL33OC7AB2CJ3KAGGIU7

not attested not anchored not stored refs pending

Graph parameters that are coarsely equivalent to path-length

Ekkehard K\"ohler, Feodor F. Dragan

arxiv:2503.05661 v2 · 2025-03-07 · math.CO · cs.DM · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LI5IPMKL33OC7AB2CJ3KAGGIU7}

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	2026-07-05T10:42:15.482628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a3a87b14bdedc2f803a1276a018c8a7dbb0beb6dc2485c771e453312e5d244d

Aliases

arxiv: 2503.05661 · arxiv_version: 2503.05661v2 · doi: 10.48550/arxiv.2503.05661 · pith_short_12: LI5IPMKL33OC · pith_short_16: LI5IPMKL33OC7AB2 · pith_short_8: LI5IPMKL

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/LI5IPMKL33OC7AB2CJ3KAGGIU7 \
  | 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: 5a3a87b14bdedc2f803a1276a018c8a7dbb0beb6dc2485c771e453312e5d244d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da5ba5be84b30d4ba6ec1a361f45c8e46de7fbb037b5f43c9bfcb3354b9c6f28",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-07T18:23:40Z",
    "title_canon_sha256": "07fc55ebe67acfc5651ef72e4b66b1cefe63742e3c92d9362c59e3eed118c60f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.05661",
    "kind": "arxiv",
    "version": 2
  }
}