Pith Number

pith:JAPQAY2F

pith:2024:JAPQAY2F3ZRFF5O52BHSO3LYAD

not attested not anchored not stored refs pending

Improved bounds for polylogarithmic graph distances in scale-free percolation and related models

Johannes Lengler, Kalina Petrova, Kostas Lakis, Leon Schiller

arxiv:2405.07217 v2 · 2024-05-12 · math.PR · cs.SI · 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{JAPQAY2F3ZRFF5O52BHSO3LYAD}

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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	2026-07-05T08:18:53.233158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

481f006345de6252f5ddd04f276d7800d9c1b980f658d05230cb92bbb2c5b690

Aliases

arxiv: 2405.07217 · arxiv_version: 2405.07217v2 · doi: 10.48550/arxiv.2405.07217 · pith_short_12: JAPQAY2F3ZRF · pith_short_16: JAPQAY2F3ZRFF5O5 · pith_short_8: JAPQAY2F

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/JAPQAY2F3ZRFF5O52BHSO3LYAD \
  | 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: 481f006345de6252f5ddd04f276d7800d9c1b980f658d05230cb92bbb2c5b690

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4bc9e2bfa669dfa695765d5bb064778a27522f6ee3f3f589ca0cbe2d3ed357a",
    "cross_cats_sorted": [
      "cs.SI",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-05-12T08:34:41Z",
    "title_canon_sha256": "bda2a26f06efe7ff7f46a84bcdf6d3cfaf6af26e87c58bfe4c84be23fb3dc726"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.07217",
    "kind": "arxiv",
    "version": 2
  }
}