Pith Number

pith:X543IBKL

pith:2024:X543IBKL3UQCNEZ2HKWLBAJ6TJ

not attested not anchored not stored refs pending

Onset of wavenumber bandgaps via alternating Willis coupling signs

Hasan B. Al Ba'ba'a

arxiv:2412.06798 v2 · 2024-11-22 · physics.optics · cond-mat.mtrl-sci · physics.app-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X543IBKL3UQCNEZ2HKWLBAJ6TJ}

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.

Cited by

1 paper in Pith

Observation of dispersion anomalies by design

Receipt and verification

First computed	2026-07-05T10:37:39.767703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf79b4054bdd2026933a3aacb0813e9a5f79f1f8f7b444e4966b8fc08bac70f0

Aliases

arxiv: 2412.06798 · arxiv_version: 2412.06798v2 · doi: 10.48550/arxiv.2412.06798 · pith_short_12: X543IBKL3UQC · pith_short_16: X543IBKL3UQCNEZ2 · pith_short_8: X543IBKL

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/X543IBKL3UQCNEZ2HKWLBAJ6TJ \
  | 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: bf79b4054bdd2026933a3aacb0813e9a5f79f1f8f7b444e4966b8fc08bac70f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64137076fcf276244890f430eef7ddcd73fcf3623a1cf515fdd3c4a1ee93ab88",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "physics.app-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2024-11-22T21:56:07Z",
    "title_canon_sha256": "8d059921c38b5642678aba58328986a57f97b66e38d9d3d3ee44e3df4ecb462c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.06798",
    "kind": "arxiv",
    "version": 2
  }
}