Pith Number

pith:FZFEHTR4

pith:2011:FZFEHTR4VJDIA35HAWXI3PWZVO

not attested not anchored not stored refs pending

Total Vertex Irregularity Strength of Forests

Florian Pfender, Marcin Anholcer, Micha{\l} Karo\'nski

arxiv:1103.2087 v1 · 2011-03-10 · 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{FZFEHTR4VJDIA35HAWXI3PWZVO}

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	2026-05-18T04:27:03.013047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e4a43ce3caa46806fa705ae8dbed9aba549a99487ffe18c51d6b196b0a52754

Aliases

arxiv: 1103.2087 · arxiv_version: 1103.2087v1 · doi: 10.48550/arxiv.1103.2087 · pith_short_12: FZFEHTR4VJDI · pith_short_16: FZFEHTR4VJDIA35H · pith_short_8: FZFEHTR4

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/FZFEHTR4VJDIA35HAWXI3PWZVO \
  | 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: 2e4a43ce3caa46806fa705ae8dbed9aba549a99487ffe18c51d6b196b0a52754

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d03f9f2ab5b6b37200bfac1558ab3e467c159677d277091becc792e76f29c404",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-10T17:35:11Z",
    "title_canon_sha256": "1f32e2790d3129cb3ef30a4131f307024562283199bfe65398ac2c84620fc64a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2087",
    "kind": "arxiv",
    "version": 1
  }
}