Pith Number

pith:ZMCORZYE

pith:2026:ZMCORZYESUO26I3SHWWWVZ4VBP

not attested not anchored not stored refs pending

On Quantum Aspects of 1-Form Symmetries II: Bordism, Invertible Phases, and Anomalies

Weizhen Jia, Yi-Nan Wang, Yi Zhang

arxiv:2606.07056 v1 · 2026-06-05 · hep-th · math-ph · math.AT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMCORZYESUO26I3SHWWWVZ4VBP}

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	2026-06-08T01:04:43.697418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb04e8e704951daf23723dad6ae7950be29e9a684898c36dc7fc2df4d9093e15

Aliases

arxiv: 2606.07056 · arxiv_version: 2606.07056v1 · doi: 10.48550/arxiv.2606.07056 · pith_short_12: ZMCORZYESUO2 · pith_short_16: ZMCORZYESUO26I3S · pith_short_8: ZMCORZYE

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/ZMCORZYESUO26I3SHWWWVZ4VBP \
  | 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: cb04e8e704951daf23723dad6ae7950be29e9a684898c36dc7fc2df4d9093e15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21e3fba28be8cefdb73dda23434ff655c7d4eb3d0e3e2c1c92906878d2356e0f",
    "cross_cats_sorted": [
      "math-ph",
      "math.AT",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-05T08:56:32Z",
    "title_canon_sha256": "97c82ce8ac6b2030c66417052084d64cdbebea53a510784a64ee9f94c3b02178"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07056",
    "kind": "arxiv",
    "version": 1
  }
}