Pith Number

pith:LUFV63TG

pith:2008:LUFV63TGEBMLAAFRHVQQDGSR2H

not attested not anchored not stored refs pending

Brody curves omitting hyperplanes

Alexandre Eremenko

arxiv:0812.2673 v2 · 2008-12-14 · 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{LUFV63TGEBMLAAFRHVQQDGSR2H}

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	2026-05-18T04:03:07.611974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d0b5f6e662058b000b13d61019a51d1f72ab4f8cb7c1d417583785dae2a4a65

Aliases

arxiv: 0812.2673 · arxiv_version: 0812.2673v2 · doi: 10.48550/arxiv.0812.2673 · pith_short_12: LUFV63TGEBML · pith_short_16: LUFV63TGEBMLAAFR · pith_short_8: LUFV63TG

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/LUFV63TGEBMLAAFRHVQQDGSR2H \
  | 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: 5d0b5f6e662058b000b13d61019a51d1f72ab4f8cb7c1d417583785dae2a4a65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63c1c3fc051a2b723721f529c4667a5e745d8031dc74413106d8042fdf25a23c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2008-12-14T19:58:10Z",
    "title_canon_sha256": "94375e22d7d355c7424c2ba778fa8acdb46225c767ecc7edf98e8d78b368220d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2673",
    "kind": "arxiv",
    "version": 2
  }
}