Pith Number

pith:RY3MNEZL

pith:2013:RY3MNEZLPMW7IYMKK7R7QFGIHG

not attested not anchored not stored refs pending

Balanced Abelian group valued functions on directed graphs

Avraham Goldstein, Vadim E. Levit, Yonah Cherniavsky

arxiv:1303.5456 v2 · 2013-03-21 · 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{RY3MNEZLPMW7IYMKK7R7QFGIHG}

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	2026-05-18T03:30:01.779673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e36c6932b7b2df4618a57e3f814c8398b3c037717b90f7a07c8c5a3bd377bb5

Aliases

arxiv: 1303.5456 · arxiv_version: 1303.5456v2 · doi: 10.48550/arxiv.1303.5456 · pith_short_12: RY3MNEZLPMW7 · pith_short_16: RY3MNEZLPMW7IYMK · pith_short_8: RY3MNEZL

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/RY3MNEZLPMW7IYMKK7R7QFGIHG \
  | 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: 8e36c6932b7b2df4618a57e3f814c8398b3c037717b90f7a07c8c5a3bd377bb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "471a7a0f5f0f2e9aeed76fd8492ff9bf79777317e174693c8d08e1cea46a3142",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-21T20:31:03Z",
    "title_canon_sha256": "d1e487469077e9b86152c1fccebe720e0041b39057df8739f369c0843dfc51e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5456",
    "kind": "arxiv",
    "version": 2
  }
}