Pith Number

pith:CD75JMNN

pith:2010:CD75JMNNNS6LGSPG2UU7EZSDLD

not attested not anchored not stored refs pending

Motivic twisted K-theory

Markus Spitzweck, Paul Arne {\O}stv{\ae}r

arxiv:1008.4915 v1 · 2010-08-29 · math.AT · math.AG · 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{CD75JMNNNS6LGSPG2UU7EZSDLD}

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	2026-05-18T04:41:43.421688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10ffd4b1ad6cbcb349e6d529f2664358ea274a1951868da6ccc0a88e81e8bf4d

Aliases

arxiv: 1008.4915 · arxiv_version: 1008.4915v1 · doi: 10.48550/arxiv.1008.4915 · pith_short_12: CD75JMNNNS6L · pith_short_16: CD75JMNNNS6LGSPG · pith_short_8: CD75JMNN

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/CD75JMNNNS6LGSPG2UU7EZSDLD \
  | 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: 10ffd4b1ad6cbcb349e6d529f2664358ea274a1951868da6ccc0a88e81e8bf4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ea62e00b72cb16157f449302d0bef39afddc8640b699c4e54308020af4137eb",
    "cross_cats_sorted": [
      "math.AG",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-08-29T11:40:53Z",
    "title_canon_sha256": "8137c3867cd60280d7a2d5875ad70ca652ea87dabe2efaf6c3de4bf1e9b357d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4915",
    "kind": "arxiv",
    "version": 1
  }
}