Pith Number

pith:TNOOPPKE

pith:2013:TNOOPPKEKES6ONAETJQC6TPSMP

not attested not anchored not stored refs pending

Functorial Factorizations in Pro Categories

Ilan Barnea, Tomer M. Schlank

arxiv:1305.4607 v1 · 2013-05-20 · math.CT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNOOPPKEKES6ONAETJQC6TPSMP}

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	2026-05-18T03:25:16.580800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b5ce7bd445125e734049a602f4df263f6fc51ba1a86a3e879b3a6c31a7275d6

Aliases

arxiv: 1305.4607 · arxiv_version: 1305.4607v1 · doi: 10.48550/arxiv.1305.4607 · pith_short_12: TNOOPPKEKES6 · pith_short_16: TNOOPPKEKES6ONAE · pith_short_8: TNOOPPKE

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/TNOOPPKEKES6ONAETJQC6TPSMP \
  | 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: 9b5ce7bd445125e734049a602f4df263f6fc51ba1a86a3e879b3a6c31a7275d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ff76b32d6ef63a4b894cc5a2cebde44fb74762a417ac21d149fc2b83b186db0",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-05-20T18:46:56Z",
    "title_canon_sha256": "7c6ee883cd0de19bdc23787c899497595dbfb72b52ca06b26a96a2d8272e40b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4607",
    "kind": "arxiv",
    "version": 1
  }
}