Pith Number

pith:TMJVIFWZ

pith:2006:TMJVIFWZSHI7XGE33INPDFLUQD

not attested not anchored not stored refs pending

Bivariant algebraic K-Theory

Andreas Thom, Guillermo Corti\~nas

arxiv:math/0603531 v6 · 2006-03-22 · math.KT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMJVIFWZSHI7XGE33INPDFLUQD}

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	2026-05-18T04:16:23.550000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b135416d991d1fb989bda1af1957480efaad95309f92202e35672c85eb98801

Aliases

arxiv: math/0603531 · arxiv_version: math/0603531v6 · doi: 10.48550/arxiv.math/0603531 · pith_short_12: TMJVIFWZSHI7 · pith_short_16: TMJVIFWZSHI7XGE3 · pith_short_8: TMJVIFWZ

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/TMJVIFWZSHI7XGE33INPDFLUQD \
  | 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: 9b135416d991d1fb989bda1af1957480efaad95309f92202e35672c85eb98801

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2810d2a5d517a35696172649c5d46759f35c25963cab453cd352e26b4fecf009",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2006-03-22T14:15:19Z",
    "title_canon_sha256": "de6c1c78fdf5338f830be04bef9b3e504ecf70a2b337eba69b7d711115e02fcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603531",
    "kind": "arxiv",
    "version": 6
  }
}