Pith Number

pith:AXNF4OIX

pith:2019:AXNF4OIXBN3WTQDPO44RDVXQ32

not attested not anchored not stored refs pending

A Universal HKR Theorem

Bertrand To\"en, Marco Robalo, Tasos Moulinos

arxiv:1906.00118 v3 · 2019-05-31 · math.AG · math.KT · math.NT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXNF4OIXBN3WTQDPO44RDVXQ32}

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	2026-07-05T04:35:32.435131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05da5e39170b7769c06f773911d6f0de88da9adac4e6e601023db976335cf1ca

Aliases

arxiv: 1906.00118 · arxiv_version: 1906.00118v3 · doi: 10.48550/arxiv.1906.00118 · pith_short_12: AXNF4OIXBN3W · pith_short_16: AXNF4OIXBN3WTQDP · pith_short_8: AXNF4OIX

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/AXNF4OIXBN3WTQDPO44RDVXQ32 \
  | 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: 05da5e39170b7769c06f773911d6f0de88da9adac4e6e601023db976335cf1ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4174fdeec95a66837932670391946a962f45d999354c8f09da75f5576e78f53",
    "cross_cats_sorted": [
      "math.KT",
      "math.NT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-05-31T23:16:33Z",
    "title_canon_sha256": "7fa05918c40ef2ef5e2cfac5e7b40e019957fcf1c308c8458487e6c81e7262d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.00118",
    "kind": "arxiv",
    "version": 3
  }
}