Pith Number

pith:HNMMLSMZ

pith:2026:HNMMLSMZ7TYONHYYX6JX3VI5JL

not attested not anchored not stored refs pending

Symmetry-protected cubic-touching topological surface bands with tunable singularities

Ivar Martin, Jingtian Shi, Taylor L. Hughes

arxiv:2607.19265 v1 · 2026-07-21 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HNMMLSMZ7TYONHYYX6JX3VI5JL}

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	2026-07-22T01:24:17.248829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b58c5c999fcf0e69f18bf937dd51d4af9109a099d60a6da8cc4bad6c7c9d886

Aliases

arxiv: 2607.19265 · arxiv_version: 2607.19265v1 · doi: 10.48550/arxiv.2607.19265 · pith_short_12: HNMMLSMZ7TYO · pith_short_16: HNMMLSMZ7TYONHYY · pith_short_8: HNMMLSMZ

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/HNMMLSMZ7TYONHYYX6JX3VI5JL \
  | 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: 3b58c5c999fcf0e69f18bf937dd51d4af9109a099d60a6da8cc4bad6c7c9d886

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b992ee84330b348a703aa4fdf5ec209e060c075de40e2f7601085e68c712684",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-07-21T16:37:34Z",
    "title_canon_sha256": "e09c23018ec9df310c056f1d6cc20870c029cd5492cdc91a8bac7c9603bbe434"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19265",
    "kind": "arxiv",
    "version": 1
  }
}