Pith Number

pith:QPFADKRK

pith:2015:QPFADKRKYHYPS2BOS2JMKSYOIJ

not attested not anchored not stored refs pending

Spanning trees in random series-parallel graphs

Juanjo Ru\'e, Julia Ehrenm\"uller

arxiv:1503.01922 v2 · 2015-03-06 · 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{QPFADKRKYHYPS2BOS2JMKSYOIJ}

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	2026-05-18T01:24:25.075165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83ca01aa2ac1f0f9682e9692c54b0e425a9123902993884ad91445b16e2a3bc8

Aliases

arxiv: 1503.01922 · arxiv_version: 1503.01922v2 · doi: 10.48550/arxiv.1503.01922 · pith_short_12: QPFADKRKYHYP · pith_short_16: QPFADKRKYHYPS2BO · pith_short_8: QPFADKRK

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/QPFADKRKYHYPS2BOS2JMKSYOIJ \
  | 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: 83ca01aa2ac1f0f9682e9692c54b0e425a9123902993884ad91445b16e2a3bc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96a96fa50bc4eb24071a491d9afde36fcec29aa098018acae3ea95b274eaa771",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-06T11:26:00Z",
    "title_canon_sha256": "0523e966b006a73769778d7c67dad24c9a9e97be6815cfcaa5abc5dc55ae00bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01922",
    "kind": "arxiv",
    "version": 2
  }
}