Pith Number

pith:PSZ2HLP6

pith:2014:PSZ2HLP6X2QU74M6WKU5WYVCKC

not attested not anchored not stored refs pending

Random-bit optimal uniform sampling for rooted planar trees with given sequence of degrees and Applications

David Julien (LIPN), Marchal Philippe (LAGA), Olivier Bodini (LIPN)

arxiv:1401.4712 v1 · 2014-01-19 · cs.DM · 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{PSZ2HLP6X2QU74M6WKU5WYVCKC}

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	2026-05-18T03:01:44.854903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cb3a3adfebea14ff19eb2a9db62a2509998e5de568428dfdf7878b5b5e1cf25

Aliases

arxiv: 1401.4712 · arxiv_version: 1401.4712v1 · doi: 10.48550/arxiv.1401.4712 · pith_short_12: PSZ2HLP6X2QU · pith_short_16: PSZ2HLP6X2QU74M6 · pith_short_8: PSZ2HLP6

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/PSZ2HLP6X2QU74M6WKU5WYVCKC \
  | 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: 7cb3a3adfebea14ff19eb2a9db62a2509998e5de568428dfdf7878b5b5e1cf25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a67bf7efef0ebee4ebfbc4f5adc189b574bab803213d23d4cd5aaa3380e3202",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2014-01-19T18:17:01Z",
    "title_canon_sha256": "64a10ae7ff1a2ec53930d9efaf6118983af15571c8f9c8c3730fe7bc242c4f94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4712",
    "kind": "arxiv",
    "version": 1
  }
}