Pith Number

pith:JTRNIWMJ

pith:2021:JTRNIWMJ3LFI5TGYR2BV36O2ZE

not attested not anchored not stored refs pending

Root and community inference on the latent growth process of a network

Harry Crane, Min Xu

arxiv:2107.00153 v4 · 2021-07-01 · stat.ME · math.PR · stat.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{JTRNIWMJ3LFI5TGYR2BV36O2ZE}

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	2026-07-05T05:39:10.729669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ce2d45989daca8eccd88e835df9dac916908940e25c7593f921899d3c7ce5e9

Aliases

arxiv: 2107.00153 · arxiv_version: 2107.00153v4 · doi: 10.48550/arxiv.2107.00153 · pith_short_12: JTRNIWMJ3LFI · pith_short_16: JTRNIWMJ3LFI5TGY · pith_short_8: JTRNIWMJ

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/JTRNIWMJ3LFI5TGYR2BV36O2ZE \
  | 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: 4ce2d45989daca8eccd88e835df9dac916908940e25c7593f921899d3c7ce5e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6c54397b37eb13ca8ec60b1cf2308857c5fe98164eb94923aad2f20ca409e32",
    "cross_cats_sorted": [
      "math.PR",
      "stat.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2021-07-01T00:11:04Z",
    "title_canon_sha256": "a0ae9f918f84f93fa034908a6837acf7533c05122ce21981b6d70b4d8615ab76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.00153",
    "kind": "arxiv",
    "version": 4
  }
}