Pith Number

pith:P4BAJQFA

pith:2026:P4BAJQFAQDYXOS6UPDQXZMHQNP

not attested not anchored not stored refs pending

Physical Pictures for Quasisymmetry in Crystals

Bryan D. Assun\c{c}\~ao, Emmanuel V. C. Lopes, Gerson J. Ferreira, Tome M. Schmidt

arxiv:2602.18132 v2 · 2026-02-20 · cond-mat.mtrl-sci · cond-mat.mes-hall

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4BAJQFAQDYXOS6UPDQXZMHQNP}

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	2026-08-04T02:09:22.424804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f0204c0a080f1774bd478e17cb0f06be09bf892e33f1224a1792162293f8db2

Aliases

arxiv: 2602.18132 · arxiv_version: 2602.18132v2 · doi: 10.48550/arxiv.2602.18132 · pith_short_12: P4BAJQFAQDYX · pith_short_16: P4BAJQFAQDYXOS6U · pith_short_8: P4BAJQFA

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/P4BAJQFAQDYXOS6UPDQXZMHQNP \
  | 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: 7f0204c0a080f1774bd478e17cb0f06be09bf892e33f1224a1792162293f8db2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ce589dd12473320352db50a6ef2036e6078e69944789069914663a9bf888542",
    "cross_cats_sorted": [
      "cond-mat.mes-hall"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2026-02-20T10:47:25Z",
    "title_canon_sha256": "c746d76c940bdeb520ca5342f9f1fc1925297ece0180d45ac5cf2f2dcafaf136"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.18132",
    "kind": "arxiv",
    "version": 2
  }
}