Pith Number

pith:WLLHEAZD

pith:2016:WLLHEAZDYK655RMQQVRV4DQII6

not attested not anchored not stored refs pending

Flatness and Completion Revisited

Amnon Yekutieli

arxiv:1606.01832 v3 · 2016-06-06 · math.AC · math.KT · 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{WLLHEAZDYK655RMQQVRV4DQII6}

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.

Cited by

2 papers in Pith

Homomorphisms of topological rings and change-of-scalar functors

Contraherent cosheaves of contramodules on Noetherian formal schemes

Receipt and verification

First computed	2026-05-18T00:35:55.673046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2d6720323c2bddec59085635e0e0847afcb3ec0bd2d3692d48a30a390c9fd58

Aliases

arxiv: 1606.01832 · arxiv_version: 1606.01832v3 · doi: 10.48550/arxiv.1606.01832 · pith_short_12: WLLHEAZDYK65 · pith_short_16: WLLHEAZDYK655RMQ · pith_short_8: WLLHEAZD

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/WLLHEAZDYK655RMQQVRV4DQII6 \
  | 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: b2d6720323c2bddec59085635e0e0847afcb3ec0bd2d3692d48a30a390c9fd58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfa3e644fb32d1b0e1341279fc7f0607a67b53112d665901cff21ce11134cf32",
    "cross_cats_sorted": [
      "math.KT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-06-06T17:12:00Z",
    "title_canon_sha256": "5f264bec6e3c161844fc3aa52e1029c4aab489b7bd77149c806e645518e57de6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01832",
    "kind": "arxiv",
    "version": 3
  }
}