Pith Number

pith:AKPL2TWT

pith:2011:AKPL2TWTRJZ6XW6ILMPXKXIZ4S

not attested not anchored not stored refs pending

Index theorems for meromorphic self-maps of the projective space

Marco Abate

arxiv:1106.2394 v1 · 2011-06-13 · math.CV · math.AG · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AKPL2TWTRJZ6XW6ILMPXKXIZ4S}

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	2026-05-18T04:20:05.874834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

029ebd4ed38a73ebdbc85b1f755d19e4a0b4d6ab779e0a65f8a43e84402145a8

Aliases

arxiv: 1106.2394 · arxiv_version: 1106.2394v1 · doi: 10.48550/arxiv.1106.2394 · pith_short_12: AKPL2TWTRJZ6 · pith_short_16: AKPL2TWTRJZ6XW6I · pith_short_8: AKPL2TWT

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/AKPL2TWTRJZ6XW6ILMPXKXIZ4S \
  | 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: 029ebd4ed38a73ebdbc85b1f755d19e4a0b4d6ab779e0a65f8a43e84402145a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5d34b403fd6b47a9c059b7a7c38430483ac57fa070be5ae28c6be195570289b",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-06-13T07:56:50Z",
    "title_canon_sha256": "b369e4859ec9a86502afa64d861bf6bf3ecef1bf251c0d7e48918f76fca934a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2394",
    "kind": "arxiv",
    "version": 1
  }
}