Pith Number

pith:O2CWADYX

pith:2013:O2CWADYXDL3ASJJL6ISUGNPLL2

not attested not anchored not stored refs pending

Equivariant algebraic kk-theory and adjointness theorems

Eugenia Ellis

arxiv:1301.1491 v3 · 2013-01-08 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O2CWADYXDL3ASJJL6ISUGNPLL2}

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	2026-05-18T02:45:41.279805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7685600f171af609252bf2254335eb5e9489385699a560bec862d306aece276c

Aliases

arxiv: 1301.1491 · arxiv_version: 1301.1491v3 · doi: 10.48550/arxiv.1301.1491 · pith_short_12: O2CWADYXDL3A · pith_short_16: O2CWADYXDL3ASJJL · pith_short_8: O2CWADYX

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/O2CWADYXDL3ASJJL6ISUGNPLL2 \
  | 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: 7685600f171af609252bf2254335eb5e9489385699a560bec862d306aece276c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c4cd8e48f0588e3f80b1509e7b20f98dc5124d5400f04c6aa86a396bd7a21de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-01-08T11:15:09Z",
    "title_canon_sha256": "db28f5eeaaaf86bb161393992347412c5f5836e315053f5a5633adfe0d8656d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1491",
    "kind": "arxiv",
    "version": 3
  }
}