Pith Number

pith:NYMWDZAB

pith:2026:NYMWDZABC2QBKR2TQNLBRPJ2C3

not attested not anchored not stored refs pending

Quantum Chaos with a Macroscopic Zero-Mode Sector

Alexander Altland, Cheryne Jonay, Frank Pollmann, Kun W. Kim

arxiv:2607.09504 v1 · 2026-07-10 · cond-mat.str-el · 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{NYMWDZABC2QBKR2TQNLBRPJ2C3}

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	2026-07-13T01:20:14.497560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e1961e40116a0154753835618bd3a16feefa4286491fe166ae102fd8df81613

Aliases

arxiv: 2607.09504 · arxiv_version: 2607.09504v1 · doi: 10.48550/arxiv.2607.09504 · pith_short_12: NYMWDZABC2QB · pith_short_16: NYMWDZABC2QBKR2T · pith_short_8: NYMWDZAB

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/NYMWDZABC2QBKR2TQNLBRPJ2C3 \
  | 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: 6e1961e40116a0154753835618bd3a16feefa4286491fe166ae102fd8df81613

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22e28e12c5650b700c8ddad49d72c1d59bdb6cc8c4fa4a142fee9e1a516ed171",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-07-10T15:17:05Z",
    "title_canon_sha256": "eefdea848c32f7e7456b4f233264135980101a6cfa50276899b4ea62aed29f38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09504",
    "kind": "arxiv",
    "version": 1
  }
}