Pith Number

pith:IBR77RJY

pith:2017:IBR77RJYWS32WUE3LFUOIK4HBT

not attested not anchored not stored refs pending

Grothendieck categories as a bilocalization of linear sites

Julia Ramos Gonz\'alez

arxiv:1707.07453 v2 · 2017-07-24 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IBR77RJYWS32WUE3LFUOIK4HBT}

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	2026-05-18T00:26:12.715645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4063ffc538b4b7ab509b5968e42b870cd9a31d3b5ee5864f4c321fa1abba19ad

Aliases

arxiv: 1707.07453 · arxiv_version: 1707.07453v2 · doi: 10.48550/arxiv.1707.07453 · pith_short_12: IBR77RJYWS32 · pith_short_16: IBR77RJYWS32WUE3 · pith_short_8: IBR77RJY

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/IBR77RJYWS32WUE3LFUOIK4HBT \
  | 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: 4063ffc538b4b7ab509b5968e42b870cd9a31d3b5ee5864f4c321fa1abba19ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97c2b8ce979fadd04b6da551d1e3c2c7c023dc0c86cc44b6237a6201f5ea1d9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2017-07-24T09:43:30Z",
    "title_canon_sha256": "0f514df31026918ae6e1690490b7069ed6da6b003f5e1829f6b5653a76206e1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07453",
    "kind": "arxiv",
    "version": 2
  }
}