Pith Number

pith:PCLMPEKH

pith:2010:PCLMPEKHEJRIRECPKJSSXEZ6AJ

not attested not anchored not stored refs pending

Remarks on endomorphisms and rational points

Ekaterina Amerik, Fedor Bogomolov, Marat Rovinsky

arxiv:1001.1150 v2 · 2010-01-07 · 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{PCLMPEKHEJRIRECPKJSSXEZ6AJ}

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	2026-05-17T23:53:19.819818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7896c79147226288904f52652b933e025f15a8be66bd812fc492daa4551b278d

Aliases

arxiv: 1001.1150 · arxiv_version: 1001.1150v2 · doi: 10.48550/arxiv.1001.1150 · pith_short_12: PCLMPEKHEJRI · pith_short_16: PCLMPEKHEJRIRECP · pith_short_8: PCLMPEKH

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/PCLMPEKHEJRIRECPKJSSXEZ6AJ \
  | 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: 7896c79147226288904f52652b933e025f15a8be66bd812fc492daa4551b278d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb58df4130d758c3735c169163c887748b928d93e9ce9aecc5609fc270d7545d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-01-07T20:39:01Z",
    "title_canon_sha256": "9dc05e7505703b3cff077fba7290ef78ee62c37c2ea36a896dbb632d9b0c24a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1150",
    "kind": "arxiv",
    "version": 2
  }
}