Pith Number

pith:XGL7MCYR

pith:2020:XGL7MCYRHQO3Z7KLKLHGSLE7CU

not attested not anchored not stored refs pending

Hearing the shape of inequivalent spin structures and exotic Dirac operators

A. A. Tomaz, R. da Rocha

arxiv:2003.03619 v1 · 2020-03-07 · hep-th · math-ph · 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{XGL7MCYRHQO3Z7KLKLHGSLE7CU}

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	2026-07-05T01:46:16.819428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b997f60b113c1dbcfd4b52ce692c9f150c899755f188207e71bdd3b6eb9fcfb5

Aliases

arxiv: 2003.03619 · arxiv_version: 2003.03619v1 · doi: 10.48550/arxiv.2003.03619 · pith_short_12: XGL7MCYRHQO3 · pith_short_16: XGL7MCYRHQO3Z7KL · pith_short_8: XGL7MCYR

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/XGL7MCYRHQO3Z7KLKLHGSLE7CU \
  | 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: b997f60b113c1dbcfd4b52ce692c9f150c899755f188207e71bdd3b6eb9fcfb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a69ff715825decb18a981fbfa450ef8b883e0e018bf8bfbdcd1abcdcbc93b56",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-03-07T17:54:29Z",
    "title_canon_sha256": "ffceebc755bbec3e49a1986c177947f01a726dfc59b21cb94eb5c1814d718df9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.03619",
    "kind": "arxiv",
    "version": 1
  }
}