Pith Number

pith:7BU5VG33

pith:2016:7BU5VG33RSSY7MXL5ZBHA4O53M

not attested not anchored not stored refs pending

A unified Erd\H{o}s-P\'osa theorem for constrained cycles

Felix Joos, Paul Wollan, Tony Huynh

arxiv:1605.07082 v5 · 2016-05-23 · 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{7BU5VG33RSSY7MXL5ZBHA4O53M}

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	2026-05-17T23:50:01.734424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f869da9b7b8ca58fb2ebee427071dddb37520b7be1e47990cb839c139b1c0e9b

Aliases

arxiv: 1605.07082 · arxiv_version: 1605.07082v5 · doi: 10.48550/arxiv.1605.07082 · pith_short_12: 7BU5VG33RSSY · pith_short_16: 7BU5VG33RSSY7MXL · pith_short_8: 7BU5VG33

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/7BU5VG33RSSY7MXL5ZBHA4O53M \
  | 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: f869da9b7b8ca58fb2ebee427071dddb37520b7be1e47990cb839c139b1c0e9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "626439c7041f0947be378d4ee992f90ae7feb3c49c55028d649ec9f9b32e2c84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-23T16:34:10Z",
    "title_canon_sha256": "6fa73c71b91d7334e83d4a2295458b4a1c315d17c40a76a5c063bd59f0398c1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07082",
    "kind": "arxiv",
    "version": 5
  }
}