Pith Number

pith:GKMKFQJ6

pith:2026:GKMKFQJ6U3KLMR6XDIG35PGT5R

not attested not anchored not stored refs pending

Pauli Spectrum and Stabilizer R\'enyi Entropy in Gapless Symmetry-Protected Topological Phases

Po-Yao Chang, Ying-Lin Li

arxiv:2607.03762 v1 · 2026-07-04 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKMKFQJ6U3KLMR6XDIG35PGT5R}

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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.

Cited by

1 paper in Pith

Quantized Stabilizer-R\'enyi Boundary Response across Fermionic SPT Transitions

Receipt and verification

First computed	2026-07-07T02:18:06.281724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3298a2c13ea6d4b647d71a0dbebcd3ec47f4ef6b7cdf89685c9270a356df36c2

Aliases

arxiv: 2607.03762 · arxiv_version: 2607.03762v1 · doi: 10.48550/arxiv.2607.03762 · pith_short_12: GKMKFQJ6U3KL · pith_short_16: GKMKFQJ6U3KLMR6X · pith_short_8: GKMKFQJ6

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/GKMKFQJ6U3KLMR6XDIG35PGT5R \
  | 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: 3298a2c13ea6d4b647d71a0dbebcd3ec47f4ef6b7cdf89685c9270a356df36c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "895280774903659969b6c9c2a6b59ba3755eda9f3a0df0751b3484cbb84a20e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-07-04T08:24:00Z",
    "title_canon_sha256": "e492174926c9c16b4d8b8378a3aa87e5025be986201ca8c86732554748fd876c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03762",
    "kind": "arxiv",
    "version": 1
  }
}