Pith Number

pith:VUJKMRWC

pith:2019:VUJKMRWCPSBIPQSFEVQQBOIZRX

not attested not anchored not stored refs pending

Random-Graph Models and Characterization of Granular Networks

Lucas B\"ottcher, Mason A. Porter, Silvia Nauer

arxiv:1907.13424 v2 · 2019-07-31 · cond-mat.soft · cond-mat.mtrl-sci · math.CO · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUJKMRWCPSBIPQSFEVQQBOIZRX}

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	2026-07-05T00:16:50.435284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad12a646c27c8287c245256100b9198dc13b1c6e9c92a42849d6e2d2872ebedb

Aliases

arxiv: 1907.13424 · arxiv_version: 1907.13424v2 · doi: 10.48550/arxiv.1907.13424 · pith_short_12: VUJKMRWCPSBI · pith_short_16: VUJKMRWCPSBIPQSF · pith_short_8: VUJKMRWC

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/VUJKMRWCPSBIPQSFEVQQBOIZRX \
  | 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: ad12a646c27c8287c245256100b9198dc13b1c6e9c92a42849d6e2d2872ebedb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "992e27c5609fbbf317ba185b8f2b17d956413f9c6a7a66bf3e89f5abf6906801",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "math.CO",
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2019-07-31T11:35:32Z",
    "title_canon_sha256": "d4c1173eca928cac2f0c9784b6ec95e753b29798e5ed92a49552724a884fa557"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.13424",
    "kind": "arxiv",
    "version": 2
  }
}