Pith Number

pith:4IXFRP64

pith:2018:4IXFRP64VE5UV4SNYPWM2KJVTD

not attested not anchored not stored refs pending

On Bollob\'as-Riordan random pairing model of preferential attachment graph

Boris Pittel

arxiv:1811.10764 v3 · 2018-11-27 · 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{4IXFRP64VE5UV4SNYPWM2KJVTD}

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	2026-05-17T23:51:19.295548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e22e58bfdca93b4af24dc3eccd293598fb47aaa70d6b39a35eeac33538d1288f

Aliases

arxiv: 1811.10764 · arxiv_version: 1811.10764v3 · doi: 10.48550/arxiv.1811.10764 · pith_short_12: 4IXFRP64VE5U · pith_short_16: 4IXFRP64VE5UV4SN · pith_short_8: 4IXFRP64

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/4IXFRP64VE5UV4SNYPWM2KJVTD \
  | 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: e22e58bfdca93b4af24dc3eccd293598fb47aaa70d6b39a35eeac33538d1288f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8a87ebf5ee4caf9d89fba7aab257e8166d8c3b96ba6d5e35d32eee9ec93af61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-27T01:16:13Z",
    "title_canon_sha256": "0b794146a54780d856b95ee147dc5ce91253489844f096c1ce5ec0cbfcfb5438"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.10764",
    "kind": "arxiv",
    "version": 3
  }
}