Pith Number

pith:C6GRDKJO

pith:2017:C6GRDKJOVGLZ23X7UCUGKDRQO2

not attested not anchored not stored refs pending

Factorization systems on (stable) derivators

Fosco Loregian, Simone Virili

arxiv:1705.08565 v3 · 2017-05-24 · math.CT · math.AG · 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{C6GRDKJOVGLZ23X7UCUGKDRQO2}

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	2026-05-18T00:23:56.538813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

178d11a92ea9979d6effa0a8650e307682637b3d31b9939cec8a3c54990ea617

Aliases

arxiv: 1705.08565 · arxiv_version: 1705.08565v3 · doi: 10.48550/arxiv.1705.08565 · pith_short_12: C6GRDKJOVGLZ · pith_short_16: C6GRDKJOVGLZ23X7 · pith_short_8: C6GRDKJO

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/C6GRDKJOVGLZ23X7UCUGKDRQO2 \
  | 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: 178d11a92ea9979d6effa0a8650e307682637b3d31b9939cec8a3c54990ea617

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96940bac9e1dd532390cc5d23d8c7c7fbfd41dc681d136b73234924615e7cefa",
    "cross_cats_sorted": [
      "math.AG",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2017-05-24T00:00:42Z",
    "title_canon_sha256": "689a70b7e06056a4cdb1043e65f775fdc90cfbc2871d8d6d2d49063547fa86a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08565",
    "kind": "arxiv",
    "version": 3
  }
}