Pith Number

pith:G2M2ZRAI

pith:2007:G2M2ZRAIJDI5YYVJ2FQUHWNF7E

not attested not anchored not stored refs pending

Index pairings for pullbacks of C*-algebras

E. Wagner, L. Dabrowski, P. M. Hajac, R. Matthes, T. Hadfield

arxiv:math/0702001 v2 · 2007-01-31 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G2M2ZRAIJDI5YYVJ2FQUHWNF7E}

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	2026-05-18T00:57:32.334811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3699acc40848d1dc62a9d16143d9a5f90dafc5d276590692938f9fe9100f8eb8

Aliases

arxiv: math/0702001 · arxiv_version: math/0702001v2 · doi: 10.48550/arxiv.math/0702001 · pith_short_12: G2M2ZRAIJDI5 · pith_short_16: G2M2ZRAIJDI5YYVJ · pith_short_8: G2M2ZRAI

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/G2M2ZRAIJDI5YYVJ2FQUHWNF7E \
  | 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: 3699acc40848d1dc62a9d16143d9a5f90dafc5d276590692938f9fe9100f8eb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a83dc09e79bf09bace1b3b64b56e4deccd7ff8246dfb351451eb3d85296ab19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2007-01-31T21:07:07Z",
    "title_canon_sha256": "7cb12c889d47730423b72fb4f1d0765a5667ef3cb4488ec7acd0a37104b3a428"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702001",
    "kind": "arxiv",
    "version": 2
  }
}