Pith Number

pith:WA42CBXV

pith:2015:WA42CBXVKYVUYK3NMUXWUA6SYC

not attested not anchored not stored refs pending

A Hilbert bundle description of differential K-theory

Alexander Gorokhovsky, John Lott

arxiv:1512.07185 v4 · 2015-12-22 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WA42CBXVKYVUYK3NMUXWUA6SYC}

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	2026-05-18T00:25:05.997009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b039a106f5562b4c2b6d652f6a03d2c0abee1bb9a235a57038d849194655a82f

Aliases

arxiv: 1512.07185 · arxiv_version: 1512.07185v4 · doi: 10.48550/arxiv.1512.07185 · pith_short_12: WA42CBXVKYVU · pith_short_16: WA42CBXVKYVUYK3N · pith_short_8: WA42CBXV

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/WA42CBXVKYVUYK3NMUXWUA6SYC \
  | 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: b039a106f5562b4c2b6d652f6a03d2c0abee1bb9a235a57038d849194655a82f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f21f73336061459c725614467a6744ed645a8bbbebe81dcb315825553378f18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-12-22T18:12:58Z",
    "title_canon_sha256": "33ff0463370619159291a44936e23d437b35bd7ef9a3f4a4da3d8fc3a202c412"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07185",
    "kind": "arxiv",
    "version": 4
  }
}