Pith Number

pith:SOS3TE3E

pith:2019:SOS3TE3EKOKI6SE7HHRE5WU6DD

not attested not anchored not stored refs pending

Le probl\`eme de la sch\'ematisation de Grothendieck revisit\'e

Bertrand To\"en

arxiv:1911.05509 v3 · 2019-11-13 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SOS3TE3EKOKI6SE7HHRE5WU6DD}

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.

Cited by

1 paper in Pith

Filtered formal groups, Cartier duality, and derived algebraic geometry

Receipt and verification

First computed	2026-07-05T08:08:36.874078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93a5b9936453948f489f39e24eda9e18dcfc5721b0c0af9a3986b9be286dd7c0

Aliases

arxiv: 1911.05509 · arxiv_version: 1911.05509v3 · doi: 10.48550/arxiv.1911.05509 · pith_short_12: SOS3TE3EKOKI · pith_short_16: SOS3TE3EKOKI6SE7 · pith_short_8: SOS3TE3E

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/SOS3TE3EKOKI6SE7HHRE5WU6DD \
  | 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: 93a5b9936453948f489f39e24eda9e18dcfc5721b0c0af9a3986b9be286dd7c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bab0d1bc0e0568738d8b5986258fc1d2b6c1ed6c29489a75be58c2670a427cb",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-11-13T14:41:22Z",
    "title_canon_sha256": "8bfb91a68e1de3fcbd3993054d21e857badb1c475b93e98b281c1e95ede7d6bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.05509",
    "kind": "arxiv",
    "version": 3
  }
}