Pith Number

pith:I7EX4T5H

pith:2012:I7EX4T5HSBHHW56UA7X6PN45XB

not attested not anchored not stored refs pending

On monads of exact reflective localizations of Abelian categories

Markus Lange-Hegermann, Mohamed Barakat

arxiv:1202.3337 v2 · 2012-02-15 · 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{I7EX4T5HSBHHW56UA7X6PN45XB}

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	2026-05-18T00:55:58.896967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47c97e4fa7904e7b77d407efe7b79db85262b897c802a70f70a9d81856b0d4ef

Aliases

arxiv: 1202.3337 · arxiv_version: 1202.3337v2 · doi: 10.48550/arxiv.1202.3337 · pith_short_12: I7EX4T5HSBHH · pith_short_16: I7EX4T5HSBHHW56U · pith_short_8: I7EX4T5H

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/I7EX4T5HSBHHW56UA7X6PN45XB \
  | 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: 47c97e4fa7904e7b77d407efe7b79db85262b897c802a70f70a9d81856b0d4ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0aa0db74316ba026a522a566d680657895c10873a192ed0c606a6809daa25b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-02-15T15:15:32Z",
    "title_canon_sha256": "4fe71d44accfbc32394807a7b55834f1ab1862218d26ce332973c53b4fba19e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3337",
    "kind": "arxiv",
    "version": 2
  }
}