Pith Number

pith:J2HILOLV

pith:2015:J2HILOLVYWLTNALQU2UW2GXLHW

not attested not anchored not stored refs pending

Koszul complexes, Birkhoff normal form and the magnetic Dirac operator

Nikhil Savale

arxiv:1511.08545 v1 · 2015-11-27 · math.AP · math.DG · 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{J2HILOLVYWLTNALQU2UW2GXLHW}

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	2026-05-18T00:01:44.087626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e8e85b975c597368170a6a96d1aeb3dbcaf7936a2182b4573be80289dcaeeb7

Aliases

arxiv: 1511.08545 · arxiv_version: 1511.08545v1 · doi: 10.48550/arxiv.1511.08545 · pith_short_12: J2HILOLVYWLT · pith_short_16: J2HILOLVYWLTNALQ · pith_short_8: J2HILOLV

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/J2HILOLVYWLTNALQU2UW2GXLHW \
  | 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: 4e8e85b975c597368170a6a96d1aeb3dbcaf7936a2182b4573be80289dcaeeb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f59244ffd36879cdb09916d58e118fcaa65a3660e7319ea1bfb94007061b24eb",
    "cross_cats_sorted": [
      "math.DG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-27T03:03:14Z",
    "title_canon_sha256": "8f95b663fa13ae763351288f7cef5789ba646acad4dec7df6b092b1a4d915f17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08545",
    "kind": "arxiv",
    "version": 1
  }
}