Pith Number

pith:QR4D7TRZ

pith:2026:QR4D7TRZL5F7TAM7H6C5Q464JU

not attested not anchored not stored refs pending

Semi-fractality and localization on a chiral Cayley tree

Boris L. Altshuler, Carlo Vanoni, Vladimir E. Kravtsov

arxiv:2607.18179 v1 · 2026-07-20 · cond-mat.dis-nn · cond-mat.stat-mech · quant-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{QR4D7TRZL5F7TAM7H6C5Q464JU}

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	2026-07-21T02:22:26.288056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84783fce395f4bf9819f3f85d873dc4d0fe0637534ddd66c5fb5ae55a302831c

Aliases

arxiv: 2607.18179 · arxiv_version: 2607.18179v1 · doi: 10.48550/arxiv.2607.18179 · pith_short_12: QR4D7TRZL5F7 · pith_short_16: QR4D7TRZL5F7TAM7 · pith_short_8: QR4D7TRZ

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/QR4D7TRZL5F7TAM7H6C5Q464JU \
  | 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: 84783fce395f4bf9819f3f85d873dc4d0fe0637534ddd66c5fb5ae55a302831c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b00885cb2a113c33e9b26950ed1eaac7916e083717f51ff0b8decb5812ca3e45",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2026-07-20T17:16:17Z",
    "title_canon_sha256": "af33cc39f023677737b849f02efe0c37180cc385e3c02d98e8bccceca1c9134e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18179",
    "kind": "arxiv",
    "version": 1
  }
}