Pith Number

pith:XLOIFPSC

pith:2018:XLOIFPSCJUBB25SRF3IFCOOKR5

not attested not anchored not stored refs pending

Non-convergence of proportions of types in a preferential attachment graph with three co-existing types

John Haslegrave, Jonathan Jordan

arxiv:1805.10071 v2 · 2018-05-25 · math.PR · 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{XLOIFPSCJUBB25SRF3IFCOOKR5}

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	2026-05-17T23:44:32.494510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

badc82be424d021d76512ed05139ca8f74c77223185bf4e90934e20b76e6c475

Aliases

arxiv: 1805.10071 · arxiv_version: 1805.10071v2 · doi: 10.48550/arxiv.1805.10071 · pith_short_12: XLOIFPSCJUBB · pith_short_16: XLOIFPSCJUBB25SR · pith_short_8: XLOIFPSC

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/XLOIFPSCJUBB25SRF3IFCOOKR5 \
  | 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: badc82be424d021d76512ed05139ca8f74c77223185bf4e90934e20b76e6c475

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24efd6d9219d573aced7e0564637406849276f2cf7ec2cc8e377001e76c8308d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-25T10:28:52Z",
    "title_canon_sha256": "7a5a1e3c1209bc1c97e942e9e9c1e66a87093ed28d2eb4db92a7ef6e3fb13164"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10071",
    "kind": "arxiv",
    "version": 2
  }
}