Pith Number

pith:Q4DYVVES

pith:2017:Q4DYVVESO35I6KW5WXHIEK4WNU

not attested not anchored not stored refs pending

Flat morphisms of finite presentation are very flat

Alexander Slavik, Leonid Positselski

arxiv:1708.00846 v5 · 2017-08-02 · math.AC · 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{Q4DYVVESO35I6KW5WXHIEK4WNU}

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

1 paper in Pith

Contraherent cosheaves of contramodules on Noetherian formal schemes

Receipt and verification

First computed	2026-07-05T01:05:32.881858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87078ad49276fa8f2addb5ce822b966d1d20ffdd2eaedea490708805e7a20577

Aliases

arxiv: 1708.00846 · arxiv_version: 1708.00846v5 · doi: 10.48550/arxiv.1708.00846 · pith_short_12: Q4DYVVESO35I · pith_short_16: Q4DYVVESO35I6KW5 · pith_short_8: Q4DYVVES

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/Q4DYVVESO35I6KW5WXHIEK4WNU \
  | 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: 87078ad49276fa8f2addb5ce822b966d1d20ffdd2eaedea490708805e7a20577

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "880cf39d942ac42cb7678d5961ab1701430b8cc54c6399fe9f63c807937c2f07",
    "cross_cats_sorted": [
      "math.AG",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-08-02T17:41:19Z",
    "title_canon_sha256": "d602687545091fa491fbeddd3a7838026e0f2c61655bfb1ab8f3d9a4b89e11d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00846",
    "kind": "arxiv",
    "version": 5
  }
}