Pith Number

pith:OUI6OVXY

pith:2014:OUI6OVXYHLGFHUOFR5DI2DSZWP

not attested not anchored not stored refs pending

Algebraic weak factorisation systems II: categories of weak maps

John Bourke, Richard Garner

arxiv:1412.6560 v3 · 2014-12-19 · math.CT · math.AT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OUI6OVXYHLGFHUOFR5DI2DSZWP}

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	2026-05-18T01:33:16.266450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7511e756f83acc53d1c58f468d0e59b3c3c27ecd5e7f2646abe16654064f2c6a

Aliases

arxiv: 1412.6560 · arxiv_version: 1412.6560v3 · doi: 10.48550/arxiv.1412.6560 · pith_short_12: OUI6OVXYHLGF · pith_short_16: OUI6OVXYHLGFHUOF · pith_short_8: OUI6OVXY

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/OUI6OVXYHLGFHUOFR5DI2DSZWP \
  | 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: 7511e756f83acc53d1c58f468d0e59b3c3c27ecd5e7f2646abe16654064f2c6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbda7f9396cbea249809a5b1972cb5e265f077e619496e794967457996ef31c0",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2014-12-19T23:39:47Z",
    "title_canon_sha256": "46aeec2ede6187154dd2795678d137f8becd1cf82c79e9c29ad862938972f1ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6560",
    "kind": "arxiv",
    "version": 3
  }
}