Pith Number

pith:5QBUTCZL

pith:2015:5QBUTCZLROMGNLGBM6KDELIQQX

not attested not anchored not stored refs pending

Majority Digraphs

J\"org Endrullis, Lawrence S. Moss, Tri Lai

arxiv:1509.07567 v1 · 2015-09-24 · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5QBUTCZLROMGNLGBM6KDELIQQX}

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	2026-05-18T01:32:02.457720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec03498b2b8b9866acc16794322d1085c2197cc727b3b01d148f58ccf5a645b6

Aliases

arxiv: 1509.07567 · arxiv_version: 1509.07567v1 · doi: 10.48550/arxiv.1509.07567 · pith_short_12: 5QBUTCZLROMG · pith_short_16: 5QBUTCZLROMGNLGB · pith_short_8: 5QBUTCZL

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/5QBUTCZLROMGNLGBM6KDELIQQX \
  | 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: ec03498b2b8b9866acc16794322d1085c2197cc727b3b01d148f58ccf5a645b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f3cf43755fb1aada4237da5abba649ece83f9e73016e79aa4f82695c57dbbe7",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-24T23:21:43Z",
    "title_canon_sha256": "26cf8573090d2a6fa255a33ede6256b1b853c1d7bdee2c9ba181c844245ee556"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07567",
    "kind": "arxiv",
    "version": 1
  }
}