Pith Number

pith:ZNNVOCUQ

pith:2010:ZNNVOCUQXFDIHEMILB2L4YJVJ4

not attested not anchored not stored refs pending

A universal coefficient theorem for twisted K-theory

Mehdi Khorami

arxiv:1001.4790 v2 · 2010-01-26 · math.AT · 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{ZNNVOCUQXFDIHEMILB2L4YJVJ4}

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	2026-05-18T02:58:02.446297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb5b570a90b9468391885874be61354f0d16d77f43086dadcc5388d98bfb9990

Aliases

arxiv: 1001.4790 · arxiv_version: 1001.4790v2 · doi: 10.48550/arxiv.1001.4790 · pith_short_12: ZNNVOCUQXFDI · pith_short_16: ZNNVOCUQXFDIHEMI · pith_short_8: ZNNVOCUQ

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/ZNNVOCUQXFDIHEMILB2L4YJVJ4 \
  | 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: cb5b570a90b9468391885874be61354f0d16d77f43086dadcc5388d98bfb9990

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a13915139ce0425e250476c72975f8b9f208666df32a6a6421eae4ce0493dc4",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-01-26T21:50:57Z",
    "title_canon_sha256": "e6bd0f9c3608e086f7b1ab1fbd6092db3328360471d76f107ca8fae8c5759182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4790",
    "kind": "arxiv",
    "version": 2
  }
}