Pith Number

pith:S73YG5A2

pith:2020:S73YG5A2E3YUV273YTEY55VJQG

not attested not anchored not stored refs pending

Defect resonances of truncated crystal structures

Alexander B. Watson, Jeremy L. Marzuola, Jianfeng Lu

arxiv:2006.07762 v2 · 2020-06-14 · math.AP · math-ph · math.CA · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S73YG5A2E3YUV273YTEY55VJQG}

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	2026-07-05T04:50:09.221773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97f783741a26f14aebfbc4c98ef6a981b1d22493d62660ebc245f0e0ddb8129c

Aliases

arxiv: 2006.07762 · arxiv_version: 2006.07762v2 · doi: 10.48550/arxiv.2006.07762 · pith_short_12: S73YG5A2E3YU · pith_short_16: S73YG5A2E3YUV273 · pith_short_8: S73YG5A2

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/S73YG5A2E3YUV273YTEY55VJQG \
  | 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: 97f783741a26f14aebfbc4c98ef6a981b1d22493d62660ebc245f0e0ddb8129c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd57ba570e5d1ae5a7146eac6297290858d3b6f3b6136bb26aa62154e4070710",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-06-14T01:30:16Z",
    "title_canon_sha256": "f45c650b26a16b0edc00f7c128fe2d6477d26a1edd1183049f041d9d66cf70d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.07762",
    "kind": "arxiv",
    "version": 2
  }
}