Pith Number

pith:PE7FBHID

pith:2016:PE7FBHID5OASMKRWX4N6SWYPFR

not attested not anchored not stored refs pending

On the Abundance Problem for $3$-folds in characteristic $p>5$

Joe Waldron, Omprokash Das

arxiv:1610.03403 v3 · 2016-10-11 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PE7FBHID5OASMKRWX4N6SWYPFR}

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	2026-05-18T00:06:48.619717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

793e509d03eb81262a36bf1be95b0f2c7d05b78fb3786fd3fe2726e555cf08df

Aliases

arxiv: 1610.03403 · arxiv_version: 1610.03403v3 · doi: 10.48550/arxiv.1610.03403 · pith_short_12: PE7FBHID5OAS · pith_short_16: PE7FBHID5OASMKRW · pith_short_8: PE7FBHID

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/PE7FBHID5OASMKRWX4N6SWYPFR \
  | 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: 793e509d03eb81262a36bf1be95b0f2c7d05b78fb3786fd3fe2726e555cf08df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "631ad7e32e62071ecf25ba75491dae97e9ec8f0d982b04c3e277f126a4d0ba0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-10-11T15:52:06Z",
    "title_canon_sha256": "36b3fe5825c1847f6370299e6e1ff646f633c3455ec62e95b119e6b7923d1e0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03403",
    "kind": "arxiv",
    "version": 3
  }
}