Pith Number

pith:QTK2CDNU

pith:2018:QTK2CDNUXCRPALPM33HLZ544VB

not attested not anchored not stored refs pending

Mittag-Leffler functors of modules

C. Sancho, F. Sancho, P. Sancho

arxiv:1804.08182 v4 · 2018-04-22 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QTK2CDNUXCRPALPM33HLZ544VB}

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	2026-05-17T23:51:26.118689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84d5a10db4b8a2f02decdecebcf79ca8451084a2f4e8a95ce5843bb367396dac

Aliases

arxiv: 1804.08182 · arxiv_version: 1804.08182v4 · doi: 10.48550/arxiv.1804.08182 · pith_short_12: QTK2CDNUXCRP · pith_short_16: QTK2CDNUXCRPALPM · pith_short_8: QTK2CDNU

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/QTK2CDNUXCRPALPM33HLZ544VB \
  | 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: 84d5a10db4b8a2f02decdecebcf79ca8451084a2f4e8a95ce5843bb367396dac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "910aef3dac2ac44a5e95d05d805e0dc13ef14fe8d358084a498558cebf40fe13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-04-22T21:55:18Z",
    "title_canon_sha256": "8ded28bbb91b9740101e3d7695e901f3a9a8e223a58ab8e65ea1c5e6b53e3f7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08182",
    "kind": "arxiv",
    "version": 4
  }
}