Pith Number

pith:65G34Y67

pith:2016:65G34Y676EKC77SPL7PJD25PDZ

not attested not anchored not stored refs pending

Functorial characterization of Mittag-Leffler modules

Carlos Sancho, Fernando Sancho, Pedro Sancho

arxiv:1611.01465 v2 · 2016-11-04 · 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{65G34Y676EKC77SPL7PJD25PDZ}

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	2026-05-18T00:40:33.072233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f74dbe63dff1142ffe4f5fde91ebaf1e48e6190b0a7a3bd2e17fc11795ac6c66

Aliases

arxiv: 1611.01465 · arxiv_version: 1611.01465v2 · doi: 10.48550/arxiv.1611.01465 · pith_short_12: 65G34Y676EKC · pith_short_16: 65G34Y676EKC77SP · pith_short_8: 65G34Y67

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/65G34Y676EKC77SPL7PJD25PDZ \
  | 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: f74dbe63dff1142ffe4f5fde91ebaf1e48e6190b0a7a3bd2e17fc11795ac6c66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d14279a8f5f777c92182cb73369291921346a19dd873ca887dcbf42ca756e66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-11-04T17:49:59Z",
    "title_canon_sha256": "48666f11ed858f08c615ef1e8d539f321e54b77b68737ae7afeb87e92556642a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01465",
    "kind": "arxiv",
    "version": 2
  }
}