Pith Number

pith:AHBL3XMZ

pith:2011:AHBL3XMZYGSEN2TJROX73XMWGD

not attested not anchored not stored refs pending

Counting the Number of Minimal Paths in Weighted Coloured-Edge Graphs

Andrew Ensor, Felipe Lillo

arxiv:1112.3066 v1 · 2011-12-13 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AHBL3XMZYGSEN2TJROX73XMWGD}

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	2026-05-18T04:06:20.269609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01c2bddd99c1a446ea698baffddd9630d4f4ea8dd2756804d9845ef6691d8a13

Aliases

arxiv: 1112.3066 · arxiv_version: 1112.3066v1 · doi: 10.48550/arxiv.1112.3066 · pith_short_12: AHBL3XMZYGSE · pith_short_16: AHBL3XMZYGSEN2TJ · pith_short_8: AHBL3XMZ

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/AHBL3XMZYGSEN2TJROX73XMWGD \
  | 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: 01c2bddd99c1a446ea698baffddd9630d4f4ea8dd2756804d9845ef6691d8a13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10e4edc765bb5ec48bbc8e00dfd2c81a5b967252270f27dd6528a3922a048458",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-13T22:44:23Z",
    "title_canon_sha256": "cf46b3df53f3066b16a8d37d2e279cc3fc291d722cf2d429346893614ca37361"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3066",
    "kind": "arxiv",
    "version": 1
  }
}