Pith Number

pith:FFF4OKRS

pith:2016:FFF4OKRSG7XZER2IKTCLLDIGXP

not attested not anchored not stored refs pending

Asymmetry and structural information in preferential attachment graphs

Abram Magner, Tomasz Luczak, Wojciech Szpankowski

arxiv:1607.04102 v3 · 2016-07-14 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFF4OKRSG7XZER2IKTCLLDIGXP}

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	2026-05-17T23:57:33.134596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

294bc72a3237ef92474854c4b58d06bbc808f0dbce8f0b439d67d782594c39f4

Aliases

arxiv: 1607.04102 · arxiv_version: 1607.04102v3 · doi: 10.48550/arxiv.1607.04102 · pith_short_12: FFF4OKRSG7XZ · pith_short_16: FFF4OKRSG7XZER2I · pith_short_8: FFF4OKRS

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/FFF4OKRSG7XZER2IKTCLLDIGXP \
  | 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: 294bc72a3237ef92474854c4b58d06bbc808f0dbce8f0b439d67d782594c39f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1758f4440a819b79f831fa8e88fdf772903c62a770ef09bfab9f441e026139a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-14T12:10:49Z",
    "title_canon_sha256": "8e781c5c2b4a6729b0911526221a89bfea76179b688da1c73deb8033ea479e0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04102",
    "kind": "arxiv",
    "version": 3
  }
}