Pith Number

pith:KHCPDMGF

pith:2010:KHCPDMGFBYD6SCJI57DLZH5SH2

not attested not anchored not stored refs pending

Shape theory and extensions of C*-algebras

Klaus Thomsen, Vladimir Manuilov

arxiv:1007.1663 v1 · 2010-07-09 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KHCPDMGFBYD6SCJI57DLZH5SH2}

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	2026-05-18T02:58:02.018807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51c4f1b0c50e07e90928efc6bc9fb23eb12c58c73b6b850ddaf5f2db2657303d

Aliases

arxiv: 1007.1663 · arxiv_version: 1007.1663v1 · doi: 10.48550/arxiv.1007.1663 · pith_short_12: KHCPDMGFBYD6 · pith_short_16: KHCPDMGFBYD6SCJI · pith_short_8: KHCPDMGF

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/KHCPDMGFBYD6SCJI57DLZH5SH2 \
  | 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: 51c4f1b0c50e07e90928efc6bc9fb23eb12c58c73b6b850ddaf5f2db2657303d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "538de929bfdd928314daf130e54cf9191dd52b9c2f314831be67006b088dbc98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-07-09T20:05:52Z",
    "title_canon_sha256": "6f034dd71fd141463828fb7b92a7fec06164d61a92ddf60e10f2bc97d06d8ebf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1663",
    "kind": "arxiv",
    "version": 1
  }
}