Pith Number

pith:U3WY2FXX

pith:2015:U3WY2FXX5QFNUKUBZHODPPMBLH

not attested not anchored not stored refs pending

Projectivity of the Witt vector affine Grassmannian

Bhargav Bhatt, Peter Scholze

arxiv:1507.06490 v3 · 2015-07-23 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U3WY2FXX5QFNUKUBZHODPPMBLH}

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	2026-05-18T00:50:23.019007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6ed8d16f7ec0ada2a81c9dc37bd8159e659ecf4a839fe8ec191c1b5e4e5ed2a

Aliases

arxiv: 1507.06490 · arxiv_version: 1507.06490v3 · doi: 10.48550/arxiv.1507.06490 · pith_short_12: U3WY2FXX5QFN · pith_short_16: U3WY2FXX5QFNUKUB · pith_short_8: U3WY2FXX

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/U3WY2FXX5QFNUKUBZHODPPMBLH \
  | 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: a6ed8d16f7ec0ada2a81c9dc37bd8159e659ecf4a839fe8ec191c1b5e4e5ed2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "088b0cc5dfa4fdaf7a0b83fc8bd50930421b0a0ed5424e815baa17518466e884",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-23T13:38:54Z",
    "title_canon_sha256": "34cc389c516fe63445303669a5d423cdac5559f359f8b2ffb481768b0d6dfc1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06490",
    "kind": "arxiv",
    "version": 3
  }
}