Pith Number

pith:TAK337WC

pith:2016:TAK337WC2AVMNE77VCEAAKXYCN

not attested not anchored not stored refs pending

Recent techniques and results on the Erd\H{o}s-P\'osa property

Dimitrios M. Thilikos, Jean-Florent Raymond

arxiv:1603.04615 v4 · 2016-03-15 · 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{TAK337WC2AVMNE77VCEAAKXYCN}

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	2026-05-18T00:55:14.062603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9815bdfec2d02ac693ffa888002af81379467bfc55539084edb154798f1fac14

Aliases

arxiv: 1603.04615 · arxiv_version: 1603.04615v4 · doi: 10.48550/arxiv.1603.04615 · pith_short_12: TAK337WC2AVM · pith_short_16: TAK337WC2AVMNE77 · pith_short_8: TAK337WC

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/TAK337WC2AVMNE77VCEAAKXYCN \
  | 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: 9815bdfec2d02ac693ffa888002af81379467bfc55539084edb154798f1fac14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35af3c57b032ca431bf68cca16e76a8500fdc6ec5ad88813c0eb2fde56c9d850",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-03-15T09:58:15Z",
    "title_canon_sha256": "f7c46917d9123dacac74b558292eb3053ff2aed50476682074b7ed4178a851f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04615",
    "kind": "arxiv",
    "version": 4
  }
}