Pith Number

pith:25CXTZAB

pith:2019:25CXTZABY7GTEM33E2OHUDDZ3S

not attested not anchored not stored refs pending

Exact sequence between real and complex bivariant K theories and application to the Z2 pairing

Samuel Guerin

arxiv:1907.07138 v1 · 2019-07-16 · math-ph · math.KT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{25CXTZABY7GTEM33E2OHUDDZ3S}

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	2026-05-17T23:40:27.897913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d74579e401c7cd32337b269c7a0c79dc84e10bb17a555b6aa22aa094bf360dd2

Aliases

arxiv: 1907.07138 · arxiv_version: 1907.07138v1 · doi: 10.48550/arxiv.1907.07138 · pith_short_12: 25CXTZABY7GT · pith_short_16: 25CXTZABY7GTEM33 · pith_short_8: 25CXTZAB

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/25CXTZABY7GTEM33E2OHUDDZ3S \
  | 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: d74579e401c7cd32337b269c7a0c79dc84e10bb17a555b6aa22aa094bf360dd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ed8e35363481c2f122f8e03a494d225faef5409bf20f1c115d5cc6687ac920f",
    "cross_cats_sorted": [
      "math.KT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-07-16T17:06:12Z",
    "title_canon_sha256": "a22c645554183f734a8b51352507c63299807d2cf9d2091d62dea4846186a718"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07138",
    "kind": "arxiv",
    "version": 1
  }
}