Pith Number

pith:UEGPBDTC

pith:2009:UEGPBDTCGLHXASTJUNBNAYPFBH

not attested not anchored not stored refs pending

Manifolds covered by lines, defective manifolds and a restricted Hartshorne Conjecture

Francesco Russo, Paltin Ionescu

arxiv:0909.2763 v3 · 2009-09-15 · 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{UEGPBDTCGLHXASTJUNBNAYPFBH}

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	2026-05-18T03:46:04.200155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a10cf08e6232cf704a69a342d061e509e3c0013233b4a548787100788bcbbac6

Aliases

arxiv: 0909.2763 · arxiv_version: 0909.2763v3 · doi: 10.48550/arxiv.0909.2763 · pith_short_12: UEGPBDTCGLHX · pith_short_16: UEGPBDTCGLHXASTJ · pith_short_8: UEGPBDTC

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/UEGPBDTCGLHXASTJUNBNAYPFBH \
  | 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: a10cf08e6232cf704a69a342d061e509e3c0013233b4a548787100788bcbbac6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0940b82b18c7b927349002ac224ca079e5d9b5adabc3978acd65cd6eff2e746",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-09-15T10:34:32Z",
    "title_canon_sha256": "28a440630f502eeeb35b432f791df35e5904bb1f403b5ca899c996bbc6a4eb74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2763",
    "kind": "arxiv",
    "version": 3
  }
}