Pith Number

pith:7ELR3CNX

pith:2004:7ELR3CNXEWC4UOSMXRFZF3IAKI

not attested not anchored not stored refs pending

Logarithmic Surfaces and Hyperbolicity

Gerd Dethloff, Steven Lu

arxiv:math/0406287 v5 · 2004-06-15 · math.AG · 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{7ELR3CNXEWC4UOSMXRFZF3IAKI}

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	2026-05-18T02:32:31.844731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9171d89b72585ca3a4cbc4b92ed00521ab728233c218d309b195a4743641146

Aliases

arxiv: math/0406287 · arxiv_version: math/0406287v5 · doi: 10.48550/arxiv.math/0406287 · pith_short_12: 7ELR3CNXEWC4 · pith_short_16: 7ELR3CNXEWC4UOSM · pith_short_8: 7ELR3CNX

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/7ELR3CNXEWC4UOSMXRFZF3IAKI \
  | 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: f9171d89b72585ca3a4cbc4b92ed00521ab728233c218d309b195a4743641146

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a82a081b6280ee0d2e25a38433e7c0c1d1c1e11b479ff8208f9bdd603e1101c",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-06-15T07:07:58Z",
    "title_canon_sha256": "fbd2e4303cb06c62a13dcc95806cb1ad0d33a48ddca89c8ab9e381f4529eef45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406287",
    "kind": "arxiv",
    "version": 5
  }
}