Pith Number

pith:CA5IIDAE

pith:2024:CA5IIDAE2MGSSKIGRYB6LERJLV

not attested not anchored not stored refs pending

Random embeddings of bounded degree trees with optimal spread

Alp M\"uyesser, Cl\'ement Legrand-Duchesne, Paul Bastide

arxiv:2409.06640 v1 · 2024-09-10 · 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{CA5IIDAE2MGSSKIGRYB6LERJLV}

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

Dirac's theorem and the switch geometry of perfect matchings

Receipt and verification

First computed	2026-07-05T09:05:27.517987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

103a840c04d30d2929068e03e592295d6a69eb0093f7165beeb413941f4e1613

Aliases

arxiv: 2409.06640 · arxiv_version: 2409.06640v1 · doi: 10.48550/arxiv.2409.06640 · pith_short_12: CA5IIDAE2MGS · pith_short_16: CA5IIDAE2MGSSKIG · pith_short_8: CA5IIDAE

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/CA5IIDAE2MGSSKIGRYB6LERJLV \
  | 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: 103a840c04d30d2929068e03e592295d6a69eb0093f7165beeb413941f4e1613

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ce22facac052b0ea28ea69a38471131dff3f9f495747a1b37d7429712bd1141",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-09-10T16:55:15Z",
    "title_canon_sha256": "09c38e4243935f67c7c164a90a2123fc9e6eeba26b12265a1eeb9ba3e172af57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.06640",
    "kind": "arxiv",
    "version": 1
  }
}