Pith Number

pith:F47JI74K

pith:2013:F47JI74KNJABAFFU2D6TAFUL2M

not attested not anchored not stored refs pending

Smoothed analysis on connected graphs

Daniel Reichman, Michael Krivelevich, Wojciech Samotij

arxiv:1307.4884 v4 · 2013-07-18 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F47JI74KNJABAFFU2D6TAFUL2M}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:35:28.317515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f3e947f8a6a401014b4d0fd30168bd31db1f1637f2e60e9d926234ecc6148eb

Aliases

arxiv: 1307.4884 · arxiv_version: 1307.4884v4 · doi: 10.48550/arxiv.1307.4884 · pith_short_12: F47JI74KNJAB · pith_short_16: F47JI74KNJABAFFU · pith_short_8: F47JI74K

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/F47JI74KNJABAFFU2D6TAFUL2M \
  | 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: 2f3e947f8a6a401014b4d0fd30168bd31db1f1637f2e60e9d926234ecc6148eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0debf0e9ce8156a473334283cecf13130059ef035a8ad53d9f24db0fc8c9019f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-18T09:58:22Z",
    "title_canon_sha256": "2cb7e95a3a8fa6a2bb0d6227aa39a8ff638d3cb923f79007f015eecf29fe367b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4884",
    "kind": "arxiv",
    "version": 4
  }
}