Pith Number

pith:RPJGM5CY

pith:2002:RPJGM5CYAPA3S5MCFLVWCCTXIR

not attested not anchored not stored refs pending

Questions on self maps of algebraic varieties

Najmuddin Fakhruddin

arxiv:math/0212208 v1 · 2002-12-16 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RPJGM5CYAPA3S5MCFLVWCCTXIR}

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.

Cited by

1 paper in Pith

Images of toric variety and amplified endomorphism of weak Fano threefolds

Receipt and verification

First computed	2026-07-04T14:36:49.937153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bd266745803c1b975822aeb610a774457a79c49c2a8b406819580b67e707451

Aliases

arxiv: math/0212208 · arxiv_version: math/0212208v1 · doi: 10.48550/arxiv.math/0212208 · pith_short_12: RPJGM5CYAPA3 · pith_short_16: RPJGM5CYAPA3S5MC · pith_short_8: RPJGM5CY

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/RPJGM5CYAPA3S5MCFLVWCCTXIR \
  | 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: 8bd266745803c1b975822aeb610a774457a79c49c2a8b406819580b67e707451

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6e30d872d4ce94844ecd238cd86eccd25aa2dc8fd860d5f517069275e8e8343",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2002-12-16T16:35:04Z",
    "title_canon_sha256": "0f8ed13d9837f68430e44a5132452dd758d9ae0ecb64f69b13925b02925e9716"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0212208",
    "kind": "arxiv",
    "version": 1
  }
}