Pith Number

pith:VXBZ5GRA

pith:2026:VXBZ5GRA477ZNCIMXVU2AEMOOI

not attested not anchored not stored refs pending

Percolation of Zero-Weight Paths and the Shape of the Phase Boundary in the Two-Dimensional Random-Bond Ising Model

Amirhossein Manouchehri, Kirill Shtengel

arxiv:2606.22398 v1 · 2026-06-21 · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXBZ5GRA477ZNCIMXVU2AEMOOI}

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	2026-06-23T02:13:37.375967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adc39e9a20e7ff96890cbd69a0118e722434cffab9ca52629f5624104d54500c

Aliases

arxiv: 2606.22398 · arxiv_version: 2606.22398v1 · doi: 10.48550/arxiv.2606.22398 · pith_short_12: VXBZ5GRA477Z · pith_short_16: VXBZ5GRA477ZNCIM · pith_short_8: VXBZ5GRA

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/VXBZ5GRA477ZNCIMXVU2AEMOOI \
  | 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: adc39e9a20e7ff96890cbd69a0118e722434cffab9ca52629f5624104d54500c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "717230b12e82dbff59408575601ff634f839bcfb1d086fc443284529ea24c69b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2026-06-21T09:04:35Z",
    "title_canon_sha256": "5e96ba9c119739c301911239e09d4b7eb642c185ae25aa0b882c00a3c8a5a4c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22398",
    "kind": "arxiv",
    "version": 1
  }
}