Pith Number

pith:QK3CMR2C

pith:2016:QK3CMR2CU77U5YI2TYEWA3E6R5

not attested not anchored not stored refs pending

K-homology and Fredholm operators I: Dirac Operators

Erik van Erp, Paul Baum

arxiv:1604.03502 v1 · 2016-04-12 · 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{QK3CMR2CU77U5YI2TYEWA3E6R5}

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	2026-05-18T01:17:13.352306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82b6264742a7ff4ee11a9e09606c9e8f6677d0efd547c31ae58e0e1fb132a23f

Aliases

arxiv: 1604.03502 · arxiv_version: 1604.03502v1 · doi: 10.48550/arxiv.1604.03502 · pith_short_12: QK3CMR2CU77U · pith_short_16: QK3CMR2CU77U5YI2 · pith_short_8: QK3CMR2C

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/QK3CMR2CU77U5YI2TYEWA3E6R5 \
  | 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: 82b6264742a7ff4ee11a9e09606c9e8f6677d0efd547c31ae58e0e1fb132a23f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88a8c9173714bb723a8f305e59830702e7ca690d081adde0ac48b392598c9d61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-04-12T18:27:23Z",
    "title_canon_sha256": "2f3f1feb059f9ff35fb87ae094837af995a79e59f108b8db273d9695755d372f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03502",
    "kind": "arxiv",
    "version": 1
  }
}