Pith Number

pith:T75T6VRA

pith:2016:T75T6VRALSG3UPQZ5XHMIO7BVZ

not attested not anchored not stored refs pending

On Lang's conjecture for some product-quotient surfaces

Erwan Rousseau, Juliana Restrepo Velasquez, Julien Grivaux

arxiv:1611.03001 v1 · 2016-11-09 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T75T6VRALSG3UPQZ5XHMIO7BVZ}

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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	2026-05-17T23:44:10.515663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ffb3f56205c8dba3e19edcec43be1ae65ffd28e22db6a39c06cfa8eecb6c4d0

Aliases

arxiv: 1611.03001 · arxiv_version: 1611.03001v1 · doi: 10.48550/arxiv.1611.03001 · pith_short_12: T75T6VRALSG3 · pith_short_16: T75T6VRALSG3UPQZ · pith_short_8: T75T6VRA

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/T75T6VRALSG3UPQZ5XHMIO7BVZ \
  | 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: 9ffb3f56205c8dba3e19edcec43be1ae65ffd28e22db6a39c06cfa8eecb6c4d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36902fc57762be4fa38aabbb7f694406c92d0fbd0b50f165cc392e0e0e8c7515",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-09T16:29:12Z",
    "title_canon_sha256": "51e0df36beb89ce74f92c448b3ae25681a7c2859818a0c2b2b28321ef7a6c4ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03001",
    "kind": "arxiv",
    "version": 1
  }
}