Pith Number

pith:E2KFCSUO

pith:2023:E2KFCSUOB5O6ESWQHQ6F2JABYV

not attested not anchored not stored refs pending

Philosophy of contraherent cosheaves

Leonid Positselski

arxiv:2311.14179 v3 · 2023-11-23 · 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{E2KFCSUOB5O6ESWQHQ6F2JABYV}

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

3 papers in Pith

Torsion modules and differential operators in infinitely many variables

Homomorphisms of topological rings and change-of-scalar functors

Contraherent cosheaves of contramodules on Noetherian formal schemes

Receipt and verification

First computed	2026-07-05T08:05:52.326456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2694514a8e0f5de24ad03c3c5d2401c55ac1b38341a9408d812a3b633e5ab696

Aliases

arxiv: 2311.14179 · arxiv_version: 2311.14179v3 · doi: 10.48550/arxiv.2311.14179 · pith_short_12: E2KFCSUOB5O6 · pith_short_16: E2KFCSUOB5O6ESWQ · pith_short_8: E2KFCSUO

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/E2KFCSUOB5O6ESWQHQ6F2JABYV \
  | 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: 2694514a8e0f5de24ad03c3c5d2401c55ac1b38341a9408d812a3b633e5ab696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aba8c316037e323f539139de7efd27ff66df1a2eb1e9350bc58d84b1e37620fd",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-11-23T19:56:29Z",
    "title_canon_sha256": "d9fadb639cbbe63c8f90c705685ac112b44356d96c0d8da5d36f40d026973480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.14179",
    "kind": "arxiv",
    "version": 3
  }
}