Pith Number

pith:I5Y2EYCO

pith:2026:I5Y2EYCODL6KOKNY4NTWEZ32SD

not attested not anchored not stored refs pending

Free to Interacting Map for Crystalline SPT Phases: Equivariance vs Crystalline Equivalence

Daniel Sheinbaum, Omar Antol\'in-Camarena

arxiv:2607.28811 v1 · 2026-07-30 · math-ph · cond-mat.str-el · 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{I5Y2EYCODL6KOKNY4NTWEZ32SD}

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	2026-08-03T00:13:05.837436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4771a2604e1afca729b8e36762677a90e546d0d2de1340320141edd65d9a074f

Aliases

arxiv: 2607.28811 · arxiv_version: 2607.28811v1 · doi: 10.48550/arxiv.2607.28811 · pith_short_12: I5Y2EYCODL6K · pith_short_16: I5Y2EYCODL6KOKNY · pith_short_8: I5Y2EYCO

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/I5Y2EYCODL6KOKNY4NTWEZ32SD \
  | 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: 4771a2604e1afca729b8e36762677a90e546d0d2de1340320141edd65d9a074f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58d1c5f8adae707e01ab9fc3cf55334303c3d23ae5511d70b7d292c7f16ef113",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math.AT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-30T20:13:40Z",
    "title_canon_sha256": "dcaebc1d739c41f1bd05b395200b6f2528ea5156b9d6e2ef8b139e0f1b1fe135"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28811",
    "kind": "arxiv",
    "version": 1
  }
}