Pith Number

pith:2IHRWL6I

pith:2010:2IHRWL6IIXXTZ7Z3TST2Z2NPRW

not attested not anchored not stored refs pending

Shortest paths between shortest paths and independent sets

Marcin Kaminski, Martin Milanic, Paul Medvedev

arxiv:1008.4563 v3 · 2010-08-26 · cs.CC · 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{2IHRWL6IIXXTZ7Z3TST2Z2NPRW}

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	2026-05-18T02:05:42.386991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d20f1b2fc845ef3cff3b9ca7ace9af8d9590d330ae6528e0e94f84131a39a5ca

Aliases

arxiv: 1008.4563 · arxiv_version: 1008.4563v3 · doi: 10.48550/arxiv.1008.4563 · pith_short_12: 2IHRWL6IIXXT · pith_short_16: 2IHRWL6IIXXTZ7Z3 · pith_short_8: 2IHRWL6I

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/2IHRWL6IIXXTZ7Z3TST2Z2NPRW \
  | 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: d20f1b2fc845ef3cff3b9ca7ace9af8d9590d330ae6528e0e94f84131a39a5ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f53be5b725f244ae5503106f29c2eaa190a3f8dc3d7362b6d244ea1e0dd5934",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2010-08-26T19:02:25Z",
    "title_canon_sha256": "0298fb2f266c1ec12a660530c5f551aef6e60b1e29b78ef4ced183ef4bdff0bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4563",
    "kind": "arxiv",
    "version": 3
  }
}