Pith Number

pith:A67ZVXSY

pith:2018:A67ZVXSYGQ6ROQZEEOLXU5S4T7

not attested not anchored not stored refs pending

Inclusion-exclusion by ordering-free cancellation

Jianguo Qian, Yin Chen

arxiv:1801.04706 v1 · 2018-01-15 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A67ZVXSYGQ6ROQZEEOLXU5S4T7}

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	2026-05-18T00:26:03.502404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07bf9ade58343d17432423977a765c9fedbca2c093d56f8c85b12892997ec7b6

Aliases

arxiv: 1801.04706 · arxiv_version: 1801.04706v1 · doi: 10.48550/arxiv.1801.04706 · pith_short_12: A67ZVXSYGQ6R · pith_short_16: A67ZVXSYGQ6ROQZE · pith_short_8: A67ZVXSY

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/A67ZVXSYGQ6ROQZEEOLXU5S4T7 \
  | 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: 07bf9ade58343d17432423977a765c9fedbca2c093d56f8c85b12892997ec7b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7f748196081a572a4efb865de30dd96c37a81b6c959b793348745264cc4e731",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-15T09:11:39Z",
    "title_canon_sha256": "13eb87cf52e3c9d10f9e532759012c191bec8bad34dd33d21c3bb996c919f3c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04706",
    "kind": "arxiv",
    "version": 1
  }
}