Pith Number

pith:U6E56VBI

pith:2014:U6E56VBICTYG7KJPOFAHJ7YOXD

not attested not anchored not stored refs pending

Parity linkage and the Erd\H{o}s-P\'osa property of odd cycles through prescribed vertices in highly connected graphs

Felix Joos

arxiv:1411.6554 v4 · 2014-11-24 · 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{U6E56VBICTYG7KJPOFAHJ7YOXD}

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	2026-05-18T01:20:47.304944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a789df542814f06fa92f714074ff0eb8dd4b0de5e9222093d621c57ef56ed2d1

Aliases

arxiv: 1411.6554 · arxiv_version: 1411.6554v4 · doi: 10.48550/arxiv.1411.6554 · pith_short_12: U6E56VBICTYG · pith_short_16: U6E56VBICTYG7KJP · pith_short_8: U6E56VBI

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/U6E56VBICTYG7KJPOFAHJ7YOXD \
  | 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: a789df542814f06fa92f714074ff0eb8dd4b0de5e9222093d621c57ef56ed2d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e68fcf53a670411c82ee41c96ae3f8c017b0dd192d41e6edf40cc4dffb9f3a80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-24T18:15:00Z",
    "title_canon_sha256": "65d7ac2ea3616921a30659768799785c30926dcadfa5bf816a7002bfc062a4c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6554",
    "kind": "arxiv",
    "version": 4
  }
}