Pith Number

pith:5TPBVOXH

pith:2014:5TPBVOXHQOUEWWWTCEYVAMFRDE

not attested not anchored not stored refs pending

Universal covers, color refinement, and two-variable counting logic: Lower bounds for the depth

Andreas Krebs, Oleg Verbitsky

arxiv:1407.3175 v2 · 2014-07-11 · cs.LO · cs.DC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5TPBVOXHQOUEWWWTCEYVAMFRDE}

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	2026-05-18T02:28:22.906121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecde1abae783a84b5ad311315030b119348c762a8b138700cb536f488a0ead9f

Aliases

arxiv: 1407.3175 · arxiv_version: 1407.3175v2 · doi: 10.48550/arxiv.1407.3175 · pith_short_12: 5TPBVOXHQOUE · pith_short_16: 5TPBVOXHQOUEWWWT · pith_short_8: 5TPBVOXH

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/5TPBVOXHQOUEWWWTCEYVAMFRDE \
  | 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: ecde1abae783a84b5ad311315030b119348c762a8b138700cb536f488a0ead9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68614f3657a52d9386b2f98aac5a81e9d21a0d293181df8deca9ff39e1fc9f73",
    "cross_cats_sorted": [
      "cs.DC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2014-07-11T14:40:31Z",
    "title_canon_sha256": "023f33b3a1c0ff9600b4aeab491bb4db53a4b9b2bdb0ec965d87939fee3cbb55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3175",
    "kind": "arxiv",
    "version": 2
  }
}