Pith Number

pith:HGL6JYRO

pith:2010:HGL6JYROA4EWDSJXTNT63JAWKR

not attested not anchored not stored refs pending

Overconvergent Witt Vectors

Andreas Langer, Christopher Davis, Thomas Zink

arxiv:1008.0305 v1 · 2010-08-02 · 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{HGL6JYROA4EWDSJXTNT63JAWKR}

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	2026-05-18T04:42:43.584327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3997e4e22e070961c9379b67eda416545b91d82aef9b6b10936b88db8eebbafe

Aliases

arxiv: 1008.0305 · arxiv_version: 1008.0305v1 · doi: 10.48550/arxiv.1008.0305 · pith_short_12: HGL6JYROA4EW · pith_short_16: HGL6JYROA4EWDSJX · pith_short_8: HGL6JYRO

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/HGL6JYROA4EWDSJXTNT63JAWKR \
  | 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: 3997e4e22e070961c9379b67eda416545b91d82aef9b6b10936b88db8eebbafe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c096368fe1e5a62da092ab1f62df7e759101ea0ec9dc34e9baeac9e9ce7094c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-08-02T13:52:23Z",
    "title_canon_sha256": "925140427e55357f4dff6e9018af352e957f62997dbc6a758c650c10235d618a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0305",
    "kind": "arxiv",
    "version": 1
  }
}