Pith Number

pith:DOQ3O7YO

pith:2012:DOQ3O7YOXNAQ45US7JUS6LSE4M

not attested not anchored not stored refs pending

On the Grothendieck conjecture on p-curvatures for q-difference equations

Charlotte Hardouin, Lucia Di Vizio

arxiv:1205.1692 v1 · 2012-05-08 · math.QA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DOQ3O7YOXNAQ45US7JUS6LSE4M}

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	2026-05-18T03:56:09.385713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ba1b77f0ebb410e7692fa692f2e44e30e05328627102948101a4c21b57f3d94

Aliases

arxiv: 1205.1692 · arxiv_version: 1205.1692v1 · doi: 10.48550/arxiv.1205.1692 · pith_short_12: DOQ3O7YOXNAQ · pith_short_16: DOQ3O7YOXNAQ45US · pith_short_8: DOQ3O7YO

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/DOQ3O7YOXNAQ45US7JUS6LSE4M \
  | 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: 1ba1b77f0ebb410e7692fa692f2e44e30e05328627102948101a4c21b57f3d94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91e2238c6c39bdcfafc24b63a087707400ba35d517fba5393baa485e379bfdb2",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-05-08T13:23:20Z",
    "title_canon_sha256": "516147a2efbfec2d0bfe4c77a1b6f8f85804ad899fe005c386690b512d91d336"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1692",
    "kind": "arxiv",
    "version": 1
  }
}