Pith Number

pith:BL6HJVA5

pith:2012:BL6HJVA5UKXUFCB3LMZ5S2BAWL

not attested not anchored not stored refs pending

On the weights of simple paths in weighted complete graphs

Elena Rubei

arxiv:1210.0845 v1 · 2012-10-02 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BL6HJVA5UKXUFCB3LMZ5S2BAWL}

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	2026-05-18T03:44:14.117791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0afc74d41da2af42883b5b33d96820b2d5f900df91d484301d79006a25304359

Aliases

arxiv: 1210.0845 · arxiv_version: 1210.0845v1 · doi: 10.48550/arxiv.1210.0845 · pith_short_12: BL6HJVA5UKXU · pith_short_16: BL6HJVA5UKXUFCB3 · pith_short_8: BL6HJVA5

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/BL6HJVA5UKXUFCB3LMZ5S2BAWL \
  | 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: 0afc74d41da2af42883b5b33d96820b2d5f900df91d484301d79006a25304359

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bf7629d0283369db149e19154e6437a425195cc1dd8089564fce5c48d5df02d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-02T17:07:35Z",
    "title_canon_sha256": "3d05c26c002ac3836cba2d2df876c7a26f142d9535a41aa79261c82cf08f427f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0845",
    "kind": "arxiv",
    "version": 1
  }
}