Pith Number

pith:3V3TS4W5

pith:2011:3V3TS4W5LDN5PT6CIY6HXJEZN5

not attested not anchored not stored refs pending

Connectivity and tree structure in finite graphs

Fabian Hundertmark, Johannes Carmesin, Maya Stein, Reinhard Diestel

arxiv:1105.1611 v5 · 2011-05-09 · 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{3V3TS4W5LDN5PT6CIY6HXJEZN5}

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	2026-05-18T02:43:59.517055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd773972dd58dbd7cfc2463c7ba4996f703a57c3430db9f2210f3509c5733852

Aliases

arxiv: 1105.1611 · arxiv_version: 1105.1611v5 · doi: 10.48550/arxiv.1105.1611 · pith_short_12: 3V3TS4W5LDN5 · pith_short_16: 3V3TS4W5LDN5PT6C · pith_short_8: 3V3TS4W5

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/3V3TS4W5LDN5PT6CIY6HXJEZN5 \
  | 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: dd773972dd58dbd7cfc2463c7ba4996f703a57c3430db9f2210f3509c5733852

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67896241b55bc2a5fa5a130b3b5b356f607a0429280d1f0bf5597abad29e96d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-09T09:59:21Z",
    "title_canon_sha256": "5e4f29fea0b7515f1eacf657298f695b94d60447a8b29229dab2aa1414572f48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1611",
    "kind": "arxiv",
    "version": 5
  }
}