Pith Number

pith:NZAB47VL

pith:2013:NZAB47VLIU63HSFYI3UXPK32XP

not attested not anchored not stored refs pending

A Solution to the Edge-Balanced Index Set Problem for Complete Odd Bipartite Graphs

C. Raridan, E. Krop, P. Patel, S. Minion

arxiv:1307.8071 v1 · 2013-07-30 · 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{NZAB47VLIU63HSFYI3UXPK32XP}

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	2026-05-18T03:17:12.501728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e401e7eab453db3c8b846e977ab7abbc23fafc08de7b5f045602b19d754116b

Aliases

arxiv: 1307.8071 · arxiv_version: 1307.8071v1 · doi: 10.48550/arxiv.1307.8071 · pith_short_12: NZAB47VLIU63 · pith_short_16: NZAB47VLIU63HSFY · pith_short_8: NZAB47VL

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/NZAB47VLIU63HSFYI3UXPK32XP \
  | 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: 6e401e7eab453db3c8b846e977ab7abbc23fafc08de7b5f045602b19d754116b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d84aa84238cd96cda0b1dfa4a39cb06b54772f019150679a549ef23d23a23bb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-30T18:04:53Z",
    "title_canon_sha256": "2598c6f859913634ca09ecf8b331258e948254210c8eb6b7af5d4d7c8f8960da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8071",
    "kind": "arxiv",
    "version": 1
  }
}