Pith Number

pith:ECDOKFXJ

pith:2016:ECDOKFXJRFNQ3MLQWDCUKOG7EW

not attested not anchored not stored refs pending

Upper Domination: towards a dichotomy through boundary properties

Bernard Ries, Hassan AbouEisha, J\'er\^ome Monnot, Shahid Hussain, Vadim Lozin, Viktor Zamaraev

arxiv:1609.01510 v1 · 2016-09-06 · 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{ECDOKFXJRFNQ3MLQWDCUKOG7EW}

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	2026-05-18T01:05:39.368171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2086e516e9895b0db170b0c54538df25afec6b0b4a4bc109d75f1f39125db631

Aliases

arxiv: 1609.01510 · arxiv_version: 1609.01510v1 · doi: 10.48550/arxiv.1609.01510 · pith_short_12: ECDOKFXJRFNQ · pith_short_16: ECDOKFXJRFNQ3MLQ · pith_short_8: ECDOKFXJ

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/ECDOKFXJRFNQ3MLQWDCUKOG7EW \
  | 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: 2086e516e9895b0db170b0c54538df25afec6b0b4a4bc109d75f1f39125db631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a237d359f552c91976a6e15d12af278083fd04431c2e6155b9cd0bb0bb8d069",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-09-06T12:01:56Z",
    "title_canon_sha256": "16948b5848d75edb3bcda99e61df4f77695364cba109a7e0fa3d0d9ab47f3b40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01510",
    "kind": "arxiv",
    "version": 1
  }
}