Pith Number

pith:QWGPCARU

pith:2011:QWGPCARUQESXPQJIZ2AWYU3RDP

not attested not anchored not stored refs pending

Bounding the Feedback Vertex Number of Digraphs in Terms of Vertex Degrees

Hermann Gruber

arxiv:1101.1291 v2 · 2011-01-06 · cs.DM · 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{QWGPCARUQESXPQJIZ2AWYU3RDP}

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	2026-05-18T03:57:14.372439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

858cf10234812577c128ce816c53711be79c4396b6e6d083bb6506cc6bc15eaf

Aliases

arxiv: 1101.1291 · arxiv_version: 1101.1291v2 · doi: 10.48550/arxiv.1101.1291 · pith_short_12: QWGPCARUQESX · pith_short_16: QWGPCARUQESXPQJI · pith_short_8: QWGPCARU

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/QWGPCARUQESXPQJIZ2AWYU3RDP \
  | 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: 858cf10234812577c128ce816c53711be79c4396b6e6d083bb6506cc6bc15eaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b26c5810aeea316ae86d2159e8e1f5f7cf4cf00f0cf9dba75106547664feeaf",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-01-06T20:36:24Z",
    "title_canon_sha256": "aa6c5b99e7ffac927a04d15ac58f2a80df569496e67f3cab0d64ebc6f6c89c4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1291",
    "kind": "arxiv",
    "version": 2
  }
}