Pith Number

pith:PASXENQU

pith:2011:PASXENQUDFMLE4IG33GSJPAO4K

not attested not anchored not stored refs pending

Vanishing of negative $K$-theory in positive characteristic

Shane Kelly

arxiv:1112.5206 v5 · 2011-12-21 · 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{PASXENQUDFMLE4IG33GSJPAO4K}

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	2026-05-17T23:53:36.371146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78257236141958b27106decd24bc0ee2b108777bef26f96e4287bbbbbd3eba61

Aliases

arxiv: 1112.5206 · arxiv_version: 1112.5206v5 · doi: 10.48550/arxiv.1112.5206 · pith_short_12: PASXENQUDFML · pith_short_16: PASXENQUDFMLE4IG · pith_short_8: PASXENQU

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/PASXENQUDFMLE4IG33GSJPAO4K \
  | 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: 78257236141958b27106decd24bc0ee2b108777bef26f96e4287bbbbbd3eba61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c5fb2777b85de3136890903440c2d766a59cb95b441a4e65eb9747956c36e42",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-21T23:40:59Z",
    "title_canon_sha256": "c502a1e0a3b74cf6c9e77c59e6b4b8860a2ee41c25d09e05a5a46557f1790f63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5206",
    "kind": "arxiv",
    "version": 5
  }
}