Pith Number

pith:MFRTYUMZ

pith:2013:MFRTYUMZFEE5WNZTBTSXUTMTHH

not attested not anchored not stored refs pending

On Castelnuovo theory and non-existence of smooth isolated curves in quintic threefolds

Xun Yu

arxiv:1302.5410 v1 · 2013-02-21 · 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{MFRTYUMZFEE5WNZTBTSXUTMTHH}

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	2026-05-18T03:32:57.728697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61633c51992909db37330ce57a4d9339daac77aa6ce3c830461b65aa51f38778

Aliases

arxiv: 1302.5410 · arxiv_version: 1302.5410v1 · doi: 10.48550/arxiv.1302.5410 · pith_short_12: MFRTYUMZFEE5 · pith_short_16: MFRTYUMZFEE5WNZT · pith_short_8: MFRTYUMZ

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/MFRTYUMZFEE5WNZTBTSXUTMTHH \
  | 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: 61633c51992909db37330ce57a4d9339daac77aa6ce3c830461b65aa51f38778

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45f296dbaf32bddd4a8f65229d374b8b01345fc741bcab56587befb0b6f041c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-02-21T20:45:28Z",
    "title_canon_sha256": "d1f5f79710caa6b5fadb0fbeeb8b9e83332c75e36d3a454c22335d6e675b0356"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5410",
    "kind": "arxiv",
    "version": 1
  }
}