Pith Number

pith:MESO4V52

pith:2018:MESO4V524PW3YUZAKO4VRGYOPY

not attested not anchored not stored refs pending

Purity and flatness in symmetric monoidal closed exact categories

Ali Zaghian, Esmaeil Hosseini

arxiv:1809.05261 v1 · 2018-09-14 · math.AG · 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{MESO4V524PW3YUZAKO4VRGYOPY}

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	2026-05-18T00:05:44.208674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6124ee57bae3edbc532053b9589b0e7e31e6501b77ced88d133330d0d4de1d54

Aliases

arxiv: 1809.05261 · arxiv_version: 1809.05261v1 · doi: 10.48550/arxiv.1809.05261 · pith_short_12: MESO4V524PW3 · pith_short_16: MESO4V524PW3YUZA · pith_short_8: MESO4V52

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/MESO4V524PW3YUZAKO4VRGYOPY \
  | 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: 6124ee57bae3edbc532053b9589b0e7e31e6501b77ced88d133330d0d4de1d54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcf9236929f070b54d6971a15ba5fa5f95a950b84cd81745eb8e60b61d0497e3",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-09-14T05:27:23Z",
    "title_canon_sha256": "ca55e8a78dbc0e0cee442ccbad8175fa539c3499cca1640b5b6c5f7ccd59d299"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05261",
    "kind": "arxiv",
    "version": 1
  }
}