Pith Number

pith:2QIF5TBZ

pith:2014:2QIF5TBZSJQKBCDG4YJFKBWOIK

not attested not anchored not stored refs pending

Enumeration of balanced finite group valued functions on directed graphs

Avraham Goldstein, Robert Shwartz, Vadim E. Levit, Yonah Cherniavsky

arxiv:1405.3686 v1 · 2014-05-14 · 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{2QIF5TBZSJQKBCDG4YJFKBWOIK}

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	2026-05-18T02:51:50.056283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4105ecc399260a08866e6125506ce428fae89a1a7be6b40747cb75f70a8d18d

Aliases

arxiv: 1405.3686 · arxiv_version: 1405.3686v1 · doi: 10.48550/arxiv.1405.3686 · pith_short_12: 2QIF5TBZSJQK · pith_short_16: 2QIF5TBZSJQKBCDG · pith_short_8: 2QIF5TBZ

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/2QIF5TBZSJQKBCDG4YJFKBWOIK \
  | 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: d4105ecc399260a08866e6125506ce428fae89a1a7be6b40747cb75f70a8d18d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf691e005cfc7f0ef2f6f8cbde8c425389f3eda4f19133d69034b2c69ee4b2d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-14T21:07:20Z",
    "title_canon_sha256": "c77262d8abd69458c6fe7ba2ba6ebe3be49ee89c1955ca4f2250c5263111aa73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.3686",
    "kind": "arxiv",
    "version": 1
  }
}