Pith Number

pith:Y6DG56RC

pith:2015:Y6DG56RCFYY2RNVVOLS3YEM33B

not attested not anchored not stored refs pending

Indefinite Kasparov modules and pseudo-Riemannian manifolds

Adam Rennie, Koen van den Dungen

arxiv:1503.06916 v2 · 2015-03-24 · math.KT · 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{Y6DG56RCFYY2RNVVOLS3YEM33B}

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	2026-05-18T01:20:53.888456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7866efa222e31a8b6b572e5bc119bd863eba5b68d280df3e27e795620e53c33

Aliases

arxiv: 1503.06916 · arxiv_version: 1503.06916v2 · doi: 10.48550/arxiv.1503.06916 · pith_short_12: Y6DG56RCFYY2 · pith_short_16: Y6DG56RCFYY2RNVV · pith_short_8: Y6DG56RC

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/Y6DG56RCFYY2RNVVOLS3YEM33B \
  | 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: c7866efa222e31a8b6b572e5bc119bd863eba5b68d280df3e27e795620e53c33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c259c3f368d560a6242abc0b2616c10eccb8ef5be772b4a5631d50150c2ee18",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-03-24T05:23:15Z",
    "title_canon_sha256": "52e7cd5dbd3c241f7e3bbcdfca6929dec6367a4eae793e616c087c5afc9182ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06916",
    "kind": "arxiv",
    "version": 2
  }
}