Pith Number

pith:BA3M7YU4

pith:2022:BA3M7YU4OTD4GO4H2QAOLLMQFO

not attested not anchored not stored refs pending

Sheaves on Grothendieck constructions

Nikita Golub

arxiv:2211.05157 v1 · 2022-11-09 · math.CT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BA3M7YU4OTD4GO4H2QAOLLMQFO}

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	2026-07-05T05:14:47.113480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0836cfe29c74c7c33b87d400e5ad902bb9b4c1fafa54b9cff36c28ce336b51ca

Aliases

arxiv: 2211.05157 · arxiv_version: 2211.05157v1 · doi: 10.48550/arxiv.2211.05157 · pith_short_12: BA3M7YU4OTD4 · pith_short_16: BA3M7YU4OTD4GO4H · pith_short_8: BA3M7YU4

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/BA3M7YU4OTD4GO4H2QAOLLMQFO \
  | 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: 0836cfe29c74c7c33b87d400e5ad902bb9b4c1fafa54b9cff36c28ce336b51ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7664c1169cf447380ac9ff7dc1edee9b3a1584be471a2cda95150ddf8ae1f59c",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2022-11-09T19:14:31Z",
    "title_canon_sha256": "a6a8f415b9d813b2cd5d65e54b0744fcff57344be2b7be264eec035aefae7580"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.05157",
    "kind": "arxiv",
    "version": 1
  }
}