Pith Number

pith:J7HC4UWU

pith:2011:J7HC4UWUMHKR3QHKR34TOFHXMU

not attested not anchored not stored refs pending

Categorical Foundations for K-Theory

Nicolas Michel

arxiv:1111.3335 v1 · 2011-11-14 · math.KT · math.AG · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J7HC4UWUMHKR3QHKR34TOFHXMU}

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	2026-05-18T04:08:22.540582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fce2e52d461d51dc0ea8ef93714f765096dc6d35c6f30ab75ddcf27d0cbf7e8

Aliases

arxiv: 1111.3335 · arxiv_version: 1111.3335v1 · doi: 10.48550/arxiv.1111.3335 · pith_short_12: J7HC4UWUMHKR · pith_short_16: J7HC4UWUMHKR3QHK · pith_short_8: J7HC4UWU

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/J7HC4UWUMHKR3QHKR34TOFHXMU \
  | 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: 4fce2e52d461d51dc0ea8ef93714f765096dc6d35c6f30ab75ddcf27d0cbf7e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f6b9d75383c27ebf5fa2cd46b35d7df0cc5b2e846a1e603851677293eef0dd2",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-11-14T19:48:53Z",
    "title_canon_sha256": "24ed47c38a7b439c0b24dfcac0cd9466648962c77999e923950034b43792f2e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3335",
    "kind": "arxiv",
    "version": 1
  }
}