Pith Number

pith:3J5NOUKW

pith:2011:3J5NOUKW6RBMLSNWUQ6QTQP757

not attested not anchored not stored refs pending

Rational curves on Fermat hypersurfaces

Mingmin Shen

arxiv:1111.5657 v2 · 2011-11-24 · 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{3J5NOUKW6RBMLSNWUQ6QTQP757}

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	2026-05-18T03:45:12.538925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da7ad75156f442c5c9b6a43d09c1ffefc2bec440237dd66bcad2560dc2d86244

Aliases

arxiv: 1111.5657 · arxiv_version: 1111.5657v2 · doi: 10.48550/arxiv.1111.5657 · pith_short_12: 3J5NOUKW6RBM · pith_short_16: 3J5NOUKW6RBMLSNW · pith_short_8: 3J5NOUKW

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/3J5NOUKW6RBMLSNWUQ6QTQP757 \
  | 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: da7ad75156f442c5c9b6a43d09c1ffefc2bec440237dd66bcad2560dc2d86244

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1272384acf4b51c9095c2fa5df40f9a43df68f8948a186ea8b30fbff9e4636f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-24T00:32:30Z",
    "title_canon_sha256": "914f6ab6341c2ccc636010e09cc5e5d9e9498050292c9cae3cd5c64389e397dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5657",
    "kind": "arxiv",
    "version": 2
  }
}