Pith Number

pith:EJWNCJD3

pith:2016:EJWNCJD3HAQMCXSL7RCZVO3HKF

not attested not anchored not stored refs pending

A tight Erd\H{o}s-P\'osa function for long cycles

Andreas Noever, Felix Weissenberger, Frank Mousset, Nemanja \v{S}kori\'c

arxiv:1603.07588 v1 · 2016-03-24 · 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{EJWNCJD3HAQMCXSL7RCZVO3HKF}

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	2026-05-18T01:18:20.472524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

226cd1247b3820c15e4bfc459abb675177706194d593336fdff8a9f8d60e19ae

Aliases

arxiv: 1603.07588 · arxiv_version: 1603.07588v1 · doi: 10.48550/arxiv.1603.07588 · pith_short_12: EJWNCJD3HAQM · pith_short_16: EJWNCJD3HAQMCXSL · pith_short_8: EJWNCJD3

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/EJWNCJD3HAQMCXSL7RCZVO3HKF \
  | 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: 226cd1247b3820c15e4bfc459abb675177706194d593336fdff8a9f8d60e19ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "557465d818dfb10a211a5ce5cd9a33dc676a0389470d78ffb852c6004cced563",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-24T14:22:44Z",
    "title_canon_sha256": "e80d22247a9e66a9789e9cda989689391af9e6608246fe938463a7b07b53a77a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07588",
    "kind": "arxiv",
    "version": 1
  }
}