Pith Number

pith:QI7QGB2R

pith:2014:QI7QGB2RBZM7VC2PUGVLU3JMNG

not attested not anchored not stored refs pending

Power of $k$ choices and rainbow spanning trees in random graphs

Alan Frieze, Deepak Bal, Patrick Bennett, Pawe{\l} Pra{\l}at

arxiv:1410.3405 v1 · 2014-10-13 · 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{QI7QGB2RBZM7VC2PUGVLU3JMNG}

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	2026-05-18T02:40:11.396865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

823f0307510e59fa8b4fa1aaba6d2c69aff6df4b107af883311915c13094fbf2

Aliases

arxiv: 1410.3405 · arxiv_version: 1410.3405v1 · doi: 10.48550/arxiv.1410.3405 · pith_short_12: QI7QGB2RBZM7 · pith_short_16: QI7QGB2RBZM7VC2P · pith_short_8: QI7QGB2R

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/QI7QGB2RBZM7VC2PUGVLU3JMNG \
  | 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: 823f0307510e59fa8b4fa1aaba6d2c69aff6df4b107af883311915c13094fbf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8d01ed6ae87240be7b630a16ea7ec56b1925022c6bfe85272d4c1e176422590",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-13T17:35:06Z",
    "title_canon_sha256": "321205d0c661f72fefb2d15d83488b6d88364987a95bca54f147b33698cf085d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3405",
    "kind": "arxiv",
    "version": 1
  }
}