Pith Number

pith:26AGWSJ5

pith:2011:26AGWSJ5LDFXAYQNKZUBECX37W

not attested not anchored not stored refs pending

Perfectoid spaces

Peter Scholze

arxiv:1111.4914 v1 · 2011-11-21 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26AGWSJ5LDFXAYQNKZUBECX37W}

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	2026-05-18T04:07:54.772252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7806b493d58cb70620d5668120afbfdaecaa16e7601690077051e1d50311b67

Aliases

arxiv: 1111.4914 · arxiv_version: 1111.4914v1 · doi: 10.48550/arxiv.1111.4914 · pith_short_12: 26AGWSJ5LDFX · pith_short_16: 26AGWSJ5LDFXAYQN · pith_short_8: 26AGWSJ5

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/26AGWSJ5LDFXAYQNKZUBECX37W \
  | 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: d7806b493d58cb70620d5668120afbfdaecaa16e7601690077051e1d50311b67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90e00e1901b80a1fb6f625e5a40f09f353a3de26f5a85706d23366f0ad8a1d3c",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-21T16:14:23Z",
    "title_canon_sha256": "ea3fe6e658632ec9a36c0b35e1454f1b6fc9df2f69b285d3ac1cf02fa2dcde34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4914",
    "kind": "arxiv",
    "version": 1
  }
}