Pith Number

pith:GKX3FXYQ

pith:2026:GKX3FXYQ6ZBRJLABIHHCNIHEAL

not attested not anchored not stored refs pending

Quantized topological invariant of symmetry-projected Gibbs states

Haruki Watanabe, Weiguang Cao

arxiv:2608.04350 v1 · 2026-08-05 · cond-mat.str-el · cond-mat.other · cond-mat.stat-mech · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKX3FXYQ6ZBRJLABIHHCNIHEAL}

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	2026-08-06T01:33:28.693993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32afb2df10f64314ac0141ce26a0e402f3b2e86ff604f3397c40a337e489f854

Aliases

arxiv: 2608.04350 · arxiv_version: 2608.04350v1 · doi: 10.48550/arxiv.2608.04350 · pith_short_12: GKX3FXYQ6ZBR · pith_short_16: GKX3FXYQ6ZBRJLAB · pith_short_8: GKX3FXYQ

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/GKX3FXYQ6ZBRJLABIHHCNIHEAL \
  | 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: 32afb2df10f64314ac0141ce26a0e402f3b2e86ff604f3397c40a337e489f854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b87246343b874e9a21bb037d4f205067491087b9d3c3afdb55cd036683cb3a31",
    "cross_cats_sorted": [
      "cond-mat.other",
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-08-05T01:49:48Z",
    "title_canon_sha256": "65ac19a2670705e154cf3d14bc9d3972cbd67693d400c8fdfd8abc22e9800666"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04350",
    "kind": "arxiv",
    "version": 1
  }
}