Pith Number

pith:D7CIB3CC

pith:2026:D7CIB3CCNXHKM5QRX2C6QLJL7L

not attested not anchored not stored refs pending

Percolating Multifractal Domains at a Polymorphic Phase Boundary

Jiahui Zhai, Shi Liu, Xu Tian, Yuan-Jinsheng Liu

arxiv:2607.26586 v1 · 2026-07-29 · cond-mat.mtrl-sci · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D7CIB3CCNXHKM5QRX2C6QLJL7L}

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	2026-07-30T01:21:13.830706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

1fc480ec426dcea67611be85e82d2bfacd47c28f78ddce282ec3f4aaf4db672f

Aliases

arxiv: 2607.26586 · arxiv_version: 2607.26586v1 · doi: 10.48550/arxiv.2607.26586 · pith_short_12: D7CIB3CCNXHK · pith_short_16: D7CIB3CCNXHKM5QR · pith_short_8: D7CIB3CC

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/D7CIB3CCNXHKM5QRX2C6QLJL7L \
  | 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: 1fc480ec426dcea67611be85e82d2bfacd47c28f78ddce282ec3f4aaf4db672f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f7a53f11d4c3a917312260eb9f5a25765fc0e1e0bc3c85e8794332d985acff8",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2026-07-29T08:06:22Z",
    "title_canon_sha256": "68cbc0c20c311f3c17991faef1ec2229f85bdc7755db406debee846328cf0558"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26586",
    "kind": "arxiv",
    "version": 1
  }
}