Pith Number

pith:DZ5ODJ7T

pith:2020:DZ5ODJ7TCTOXEKS4IWKHGAU7C7

not attested not anchored not stored refs pending

Ringel's tree packing conjecture in quasirandom graphs

Katherine Staden, Peter Keevash

arxiv:2004.09947 v1 · 2020-04-21 · 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{DZ5ODJ7TCTOXEKS4IWKHGAU7C7}

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.

Cited by

1 paper in Pith

Restricted subgraphs of edge-colored graphs and applications

Receipt and verification

First computed	2026-07-05T00:56:55.914566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e7ae1a7f314dd722a5c459473029f17fe77ba0ffdc683a48cdedb5abbf9d78a

Aliases

arxiv: 2004.09947 · arxiv_version: 2004.09947v1 · doi: 10.48550/arxiv.2004.09947 · pith_short_12: DZ5ODJ7TCTOX · pith_short_16: DZ5ODJ7TCTOXEKS4 · pith_short_8: DZ5ODJ7T

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/DZ5ODJ7TCTOXEKS4IWKHGAU7C7 \
  | 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: 1e7ae1a7f314dd722a5c459473029f17fe77ba0ffdc683a48cdedb5abbf9d78a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f67359d6711d9a562612ebe717e4587a3760414181ac3fab0386dd87f0f8142",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-04-21T12:23:37Z",
    "title_canon_sha256": "3634266a160c61dad9c487379102aa2073ea69431eec6ec6e85ed617b28cda99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.09947",
    "kind": "arxiv",
    "version": 1
  }
}