Pith Number

pith:ZSNRPBBA

pith:2025:ZSNRPBBAVFIJ73ETYMMQKAUVPF

not attested not anchored not stored refs pending

On endomorphisms of varieties which are injective on open subsets

Takumi Asano

arxiv:2505.21145 v1 · 2025-05-27 · 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{ZSNRPBBAVFIJ73ETYMMQKAUVPF}

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	2026-07-05T11:10:24.456489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc9b178420a9509fec93c319050295797ffa398449853ec9bee766a0cdc0c06b

Aliases

arxiv: 2505.21145 · arxiv_version: 2505.21145v1 · doi: 10.48550/arxiv.2505.21145 · pith_short_12: ZSNRPBBAVFIJ · pith_short_16: ZSNRPBBAVFIJ73ET · pith_short_8: ZSNRPBBA

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/ZSNRPBBAVFIJ73ETYMMQKAUVPF \
  | 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: cc9b178420a9509fec93c319050295797ffa398449853ec9bee766a0cdc0c06b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbd00541988bc7b1c7075bd2e85b31c19f5db79be6c972e767c1899923636ae4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-05-27T12:56:27Z",
    "title_canon_sha256": "7c54938485c7c7a5e0b427fa0fee17ce34ad13866cef16bcc8a93f3f5e71f1ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.21145",
    "kind": "arxiv",
    "version": 1
  }
}