Pith Number

pith:2TIWPASQ

pith:2016:2TIWPASQ5WILSGEY57AQ5TEUA2

not attested not anchored not stored refs pending

The cotorsion pair generated by the class of flat Mittag-Leffler modules

Manuel Cort\'es-Izurdiaga

arxiv:1609.05302 v2 · 2016-09-17 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TIWPASQ5WILSGEY57AQ5TEUA2}

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	2026-05-18T00:52:49.615814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4d1678250ed90b91898efc10ecc94068a5c92b7dc0119232bf995e06ec85b49

Aliases

arxiv: 1609.05302 · arxiv_version: 1609.05302v2 · doi: 10.48550/arxiv.1609.05302 · pith_short_12: 2TIWPASQ5WIL · pith_short_16: 2TIWPASQ5WILSGEY · pith_short_8: 2TIWPASQ

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/2TIWPASQ5WILSGEY57AQ5TEUA2 \
  | 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: d4d1678250ed90b91898efc10ecc94068a5c92b7dc0119232bf995e06ec85b49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0966051156a712cc996b72ed8de09901f10c35c8597ad7436c4ce7354437810",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-09-17T09:09:12Z",
    "title_canon_sha256": "dfd0a2c34c62c62ecaea32d196504fdc9b3342801861c4849919cb3e573e9610"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05302",
    "kind": "arxiv",
    "version": 2
  }
}