Pith Number

pith:M6667OLH

pith:2021:M6667OLHX5OELM5ALWNGH2JX2R

not attested not anchored not stored refs pending

Percolation thresholds on high dimensional $D_n$ and dense packing lattices

Patrick Charbonneau, Yi Hu

arxiv:2102.09682 v1 · 2021-02-18 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M6667OLHX5OELM5ALWNGH2JX2R}

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	2026-07-05T02:48:21.517104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67bdefb967bf5c45b3a05d9a63e937d4455c7ea27eef28f5d7fc0e43271281fa

Aliases

arxiv: 2102.09682 · arxiv_version: 2102.09682v1 · doi: 10.48550/arxiv.2102.09682 · pith_short_12: M6667OLHX5OE · pith_short_16: M6667OLHX5OELM5A · pith_short_8: M6667OLH

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/M6667OLHX5OELM5ALWNGH2JX2R \
  | 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: 67bdefb967bf5c45b3a05d9a63e937d4455c7ea27eef28f5d7fc0e43271281fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10db275c0017d8fa578bb256156215b76877d1649ca3b62ed6b13f26b1cce363",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2021-02-18T23:59:57Z",
    "title_canon_sha256": "99e17397f224dd75fa3d041d7c3f48de2e5302fb9f9bdaebb7f6facf2c850b42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.09682",
    "kind": "arxiv",
    "version": 1
  }
}