Pith Number

pith:NJDROVEA

pith:2023:NJDROVEAJZCDECXNMI4ZNAPQ2P

not attested not anchored not stored refs pending

Slow graph bootstrap percolation II: Accelerating properties

David Fabian, Patrick Morris, Tibor Szab\'o

arxiv:2311.18786 v2 · 2023-11-30 · 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{NJDROVEAJZCDECXNMI4ZNAPQ2P}

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	2026-07-05T09:50:00.560471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a471754804e44320aed62399681f0d3f20a68b010f5fe6115941b3dcf6eafb4

Aliases

arxiv: 2311.18786 · arxiv_version: 2311.18786v2 · doi: 10.48550/arxiv.2311.18786 · pith_short_12: NJDROVEAJZCD · pith_short_16: NJDROVEAJZCDECXN · pith_short_8: NJDROVEA

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/NJDROVEAJZCDECXNMI4ZNAPQ2P \
  | 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: 6a471754804e44320aed62399681f0d3f20a68b010f5fe6115941b3dcf6eafb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9dd6817fac882b66557e88ca493d4fa931f05394c855d591f51a6090b582767",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-11-30T18:36:44Z",
    "title_canon_sha256": "a7ed76ca6ee07650e346345f6cbb341db4ed3a0c4e15d7edc87d2afd643d96b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.18786",
    "kind": "arxiv",
    "version": 2
  }
}