Pith Number

pith:DMXDYI5V

pith:2013:DMXDYI5VCRPKLRS5C4FR2VZ4FM

not attested not anchored not stored refs pending

Comparing rankings by means of competitivity graphs: structural properties and computation

Esther Garcia, Francisco Pedroche, Miguel Romance, Regino Criado

arxiv:1310.6921 v3 · 2013-10-25 · 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{DMXDYI5VCRPKLRS5C4FR2VZ4FM}

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	2026-05-18T02:55:38.646345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b2e3c23b5145ea5c65d170b1d573c2b0b6695211f01875aed987a997e5f8d60

Aliases

arxiv: 1310.6921 · arxiv_version: 1310.6921v3 · doi: 10.48550/arxiv.1310.6921 · pith_short_12: DMXDYI5VCRPK · pith_short_16: DMXDYI5VCRPKLRS5 · pith_short_8: DMXDYI5V

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/DMXDYI5VCRPKLRS5C4FR2VZ4FM \
  | 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: 1b2e3c23b5145ea5c65d170b1d573c2b0b6695211f01875aed987a997e5f8d60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6847face5b1121d8241319be6ecbd88f85c880582a9a55f9c41d26e6e9cbee36",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-25T13:56:36Z",
    "title_canon_sha256": "d38bbc5e26ba378eee7bf7b198007364f5117100b5d4cdf46820004b22147b2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6921",
    "kind": "arxiv",
    "version": 3
  }
}