Pith Number

pith:ZZDDMY7V

pith:2021:ZZDDMY7V4N4Q7NQ3FQKLE7TXW5

not attested not anchored not stored refs pending

Compactness statistics for spanning tree recombination

Adam Nelson, Jade VanAusdall, Jeanne N. Clelland, Nicholas Bossenbroek, Peter Rock, Thomas Heckmaster

arxiv:2103.02699 v2 · 2021-03-03 · physics.soc-ph · cs.CY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZZDDMY7V4N4Q7NQ3FQKLE7TXW5}

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.

Cited by

1 paper in Pith

Census Dual Graphs: Properties and Random Graph Models

Receipt and verification

First computed	2026-07-05T02:40:50.723467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce463663f5e3790fb61b2c14b27e77b77f064aea6c16a064a53adc33d14faf55

Aliases

arxiv: 2103.02699 · arxiv_version: 2103.02699v2 · doi: 10.48550/arxiv.2103.02699 · pith_short_12: ZZDDMY7V4N4Q · pith_short_16: ZZDDMY7V4N4Q7NQ3 · pith_short_8: ZZDDMY7V

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/ZZDDMY7V4N4Q7NQ3FQKLE7TXW5 \
  | 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: ce463663f5e3790fb61b2c14b27e77b77f064aea6c16a064a53adc33d14faf55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "100cbd48c0c900ccfce3626b0b7d65f02b5e1665e1de542db86af97341b27d8b",
    "cross_cats_sorted": [
      "cs.CY"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2021-03-03T21:39:51Z",
    "title_canon_sha256": "78dc8aca340796caa09b4846854eeb8a74d08faa282adc947336ad3a2ea03270"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.02699",
    "kind": "arxiv",
    "version": 2
  }
}