Pith Number

pith:UL52GY43

pith:2026:UL52GY43FTEFJNLCHL55QKLFHW

not attested not anchored not stored refs pending

Equivalent-neighbor $k$-core percolation in two dimensions

Ming Li, Qiyuan Shi, Youjin Deng

arxiv:2605.25812 v1 · 2026-05-25 · 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{UL52GY43FTEFJNLCHL55QKLFHW}

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	2026-05-26T02:05:12.893718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2fba3639b2cc854b5623afbd829653dbe74a3c0f6cc9f7eb17c7a68fd129659

Aliases

arxiv: 2605.25812 · arxiv_version: 2605.25812v1 · doi: 10.48550/arxiv.2605.25812 · pith_short_12: UL52GY43FTEF · pith_short_16: UL52GY43FTEFJNLC · pith_short_8: UL52GY43

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/UL52GY43FTEFJNLCHL55QKLFHW \
  | 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: a2fba3639b2cc854b5623afbd829653dbe74a3c0f6cc9f7eb17c7a68fd129659

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e54a53309f99d0a6c62b767c275c8ea139fd5f1a4ed6e695e9a8dd17491523a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-25T13:03:00Z",
    "title_canon_sha256": "3b7d209eee84f4f2d308462ea20637fa17f0845ad0b33822b615c404eca9cec0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25812",
    "kind": "arxiv",
    "version": 1
  }
}