Pith Number

pith:QIFNOODP

pith:2014:QIFNOODPJ4KGGN2DWERXMXEDXP

not attested not anchored not stored refs pending

Residue Family Operators on Spinors and Spectral Theory of Dirac operator on Poincar\'e-Einstein Spaces

Matthias Fischmann, Petr Somberg

arxiv:1402.0336 v2 · 2014-02-03 · math.DG · math-ph · math.FA · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QIFNOODPJ4KGGN2DWERXMXEDXP}

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	2026-05-18T02:50:51.612555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

820ad7386f4f14633743b123765c83bbda308c3b28375e7c3dc5f16ac54a1afb

Aliases

arxiv: 1402.0336 · arxiv_version: 1402.0336v2 · doi: 10.48550/arxiv.1402.0336 · pith_short_12: QIFNOODPJ4KG · pith_short_16: QIFNOODPJ4KGGN2D · pith_short_8: QIFNOODP

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/QIFNOODPJ4KGGN2DWERXMXEDXP \
  | 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: 820ad7386f4f14633743b123765c83bbda308c3b28375e7c3dc5f16ac54a1afb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7401140910b7f0aa282a9840b2517731e73e83e30cd3e7bd7c8756907a326f15",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-02-03T10:40:03Z",
    "title_canon_sha256": "c13f7ba8d86c21d6d91fd9d688ec01d220bc09f2a05c7de8bd1542b35495c919"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0336",
    "kind": "arxiv",
    "version": 2
  }
}