Pith Number

pith:O2ZYV7UM

pith:2016:O2ZYV7UM3HVPKHW5WER6IF5QY2

not attested not anchored not stored refs pending

Analytic combinatorics of connected graphs

Elie de Panafieu

arxiv:1605.08597 v3 · 2016-05-27 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O2ZYV7UM3HVPKHW5WER6IF5QY2}

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	2026-05-18T00:03:37.508249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76b38afe8cd9eaf51eddb123e417b0c68f97977d160d7fef71c68f13b7c7426c

Aliases

arxiv: 1605.08597 · arxiv_version: 1605.08597v3 · doi: 10.48550/arxiv.1605.08597 · pith_short_12: O2ZYV7UM3HVP · pith_short_16: O2ZYV7UM3HVPKHW5 · pith_short_8: O2ZYV7UM

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/O2ZYV7UM3HVPKHW5WER6IF5QY2 \
  | 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: 76b38afe8cd9eaf51eddb123e417b0c68f97977d160d7fef71c68f13b7c7426c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "974f083233d1129f17098bf92c4968cfdf76dcdacc33377b547c5d5bbc0e4536",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-27T11:59:19Z",
    "title_canon_sha256": "b2c8d1feb90642b8e9538067802fb4e0e90d9d7a4c591023371b52f1f148f04f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08597",
    "kind": "arxiv",
    "version": 3
  }
}