Pith Number

pith:TROJJCZ2

pith:2016:TROJJCZ2532UXYBMBKD6QLLX3E

not attested not anchored not stored refs pending

Analysis of centrality in sublinear preferential attachment trees via the CMJ branching process

Po-Ling Loh, Varun Jog

arxiv:1601.06448 v2 · 2016-01-24 · math.PR · cs.DM · cs.IT · cs.SI · math.IT · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TROJJCZ2532UXYBMBKD6QLLX3E}

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	2026-05-18T01:01:08.664010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c5c948b3aeef54be02c0a87e82d77d9373fbc26d7c59428a627a172a25152de

Aliases

arxiv: 1601.06448 · arxiv_version: 1601.06448v2 · doi: 10.48550/arxiv.1601.06448 · pith_short_12: TROJJCZ2532U · pith_short_16: TROJJCZ2532UXYBM · pith_short_8: TROJJCZ2

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/TROJJCZ2532UXYBMBKD6QLLX3E \
  | 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: 9c5c948b3aeef54be02c0a87e82d77d9373fbc26d7c59428a627a172a25152de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "648bd851d5e1c0a416f42de993ef859458c9212ced0837c44c2cfec1f0894d8b",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.IT",
      "cs.SI",
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-24T23:33:07Z",
    "title_canon_sha256": "f21f258a86ee347c1df2098daaaba46751f277c6167843519cf36e90f943e112"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06448",
    "kind": "arxiv",
    "version": 2
  }
}