Pith Number

pith:YDQYRNPK

pith:2016:YDQYRNPKJBANY3R6OL6OJ325UE

not attested not anchored not stored refs pending

Proof of de Smit's conjecture: a freeness criterion

Sylvain Brochard

arxiv:1607.02044 v2 · 2016-07-07 · math.AC · math.AG · 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{YDQYRNPKJBANY3R6OL6OJ325UE}

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	2026-05-17T23:53:13.089636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0e188b5ea4840dc6e3e72fce4ef5da13118d2d19de40763165d6ad8ba1c6c84

Aliases

arxiv: 1607.02044 · arxiv_version: 1607.02044v2 · doi: 10.48550/arxiv.1607.02044 · pith_short_12: YDQYRNPKJBAN · pith_short_16: YDQYRNPKJBANY3R6 · pith_short_8: YDQYRNPK

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/YDQYRNPKJBANY3R6OL6OJ325UE \
  | 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: c0e188b5ea4840dc6e3e72fce4ef5da13118d2d19de40763165d6ad8ba1c6c84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc50e193cb4f139cef620c3fa222ecdf9e474fe4c8f3e2adbba95c551c782927",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-07-07T15:14:22Z",
    "title_canon_sha256": "e57468b18f718b8c20ccbd8f3d50510b7fb84138b663aca9c4c29fe27b14055d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02044",
    "kind": "arxiv",
    "version": 2
  }
}