Pith Number

pith:6AIFYZTY

pith:2010:6AIFYZTYUKVLSK67NTKJOAB33F

not attested not anchored not stored refs pending

Sheaves and $K$-theory for $\mathbb{F}_1$-schemes

Chenghao Chu, Oliver Lorscheid, Rekha Santhanam

arxiv:1010.2896 v2 · 2010-10-14 · math.KT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6AIFYZTYUKVLSK67NTKJOAB33F}

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	2026-05-18T04:03:55.970480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0105c6678a2aab92bdf6cd497003bd95f703496c68072775676f9ddf7d05011

Aliases

arxiv: 1010.2896 · arxiv_version: 1010.2896v2 · doi: 10.48550/arxiv.1010.2896 · pith_short_12: 6AIFYZTYUKVL · pith_short_16: 6AIFYZTYUKVLSK67 · pith_short_8: 6AIFYZTY

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/6AIFYZTYUKVLSK67NTKJOAB33F \
  | 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: f0105c6678a2aab92bdf6cd497003bd95f703496c68072775676f9ddf7d05011

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad01e88ef3ccdeec8ca87ff7ca71ea76a78e9bad4397a6140a714f5d44b8df28",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-10-14T13:08:14Z",
    "title_canon_sha256": "5361121fdde3c6a5c90c5a9725809668b4be796579566341ba850108afd7118b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2896",
    "kind": "arxiv",
    "version": 2
  }
}