Pith Number

pith:I5KPS3P4

pith:2013:I5KPS3P4SEBYZL7LSPAWOPHMQC

not attested not anchored not stored refs pending

The $k$-in-a-tree problem for graphs of girth at least~$k$

Nicolas Trotignon, Wei Liu

arxiv:1309.1279 v1 · 2013-09-05 · 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{I5KPS3P4SEBYZL7LSPAWOPHMQC}

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	2026-05-18T03:14:07.721051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4754f96dfc91038cafeb93c1673cec80849ef03f860e4faaf19f4e1ca111a52d

Aliases

arxiv: 1309.1279 · arxiv_version: 1309.1279v1 · doi: 10.48550/arxiv.1309.1279 · pith_short_12: I5KPS3P4SEBY · pith_short_16: I5KPS3P4SEBYZL7L · pith_short_8: I5KPS3P4

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/I5KPS3P4SEBYZL7LSPAWOPHMQC \
  | 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: 4754f96dfc91038cafeb93c1673cec80849ef03f860e4faaf19f4e1ca111a52d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f56c52637b88047320f51202f1a8ce0f01905ebd71c742dbdc46e4e80895f655",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-09-05T08:52:16Z",
    "title_canon_sha256": "6cfb600fee040b0073b1dab8117d23db3a32553eaf1a2f0f8d3778decadd8736"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1279",
    "kind": "arxiv",
    "version": 1
  }
}