Pith Number

pith:AZQC4HSH

pith:2015:AZQC4HSHPKJ3OYC67DNKKQA5UJ

not attested not anchored not stored refs pending

Blocking unions of arborescences

Attila Bern\'ath, Gyula Pap

arxiv:1507.00868 v1 · 2015-07-03 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZQC4HSHPKJ3OYC67DNKKQA5UJ}

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	2026-05-18T01:37:22.402975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06602e1e477a93b7605ef8daa5401da25fe414ed8773157be55092bd820eb22c

Aliases

arxiv: 1507.00868 · arxiv_version: 1507.00868v1 · doi: 10.48550/arxiv.1507.00868 · pith_short_12: AZQC4HSHPKJ3 · pith_short_16: AZQC4HSHPKJ3OYC6 · pith_short_8: AZQC4HSH

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/AZQC4HSHPKJ3OYC67DNKKQA5UJ \
  | 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: 06602e1e477a93b7605ef8daa5401da25fe414ed8773157be55092bd820eb22c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8517e3decefa394207543c6bf4e3b27677ee5ba40eaccbb765ca43aacd452f7",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-03T10:51:22Z",
    "title_canon_sha256": "b22a2e0ca0336f3380ca1467370d89c0dba792d90f222e8d8f5754904a336932"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00868",
    "kind": "arxiv",
    "version": 1
  }
}