Pith Number

pith:CGWWAUGQ

pith:2025:CGWWAUGQ7YLBHD3QS4GZVAS5C3

not attested not anchored not stored refs pending

Images of toric variety and amplified endomorphism of weak Fano threefolds

Supravat Sarkar

arxiv:2506.16325 v3 · 2025-06-19 · 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{CGWWAUGQ7YLBHD3QS4GZVAS5C3}

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	2026-06-26T00:15:22.188578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11ad6050d0fe16138f70970d9a825d16ee09d58364c3abe26384edc5af324a15

Aliases

arxiv: 2506.16325 · arxiv_version: 2506.16325v3 · doi: 10.48550/arxiv.2506.16325 · pith_short_12: CGWWAUGQ7YLB · pith_short_16: CGWWAUGQ7YLBHD3Q · pith_short_8: CGWWAUGQ

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/CGWWAUGQ7YLBHD3QS4GZVAS5C3 \
  | 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: 11ad6050d0fe16138f70970d9a825d16ee09d58364c3abe26384edc5af324a15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bef2da65bb1553df53116e2e776a3ef71ceb96bd6d736b7dde7cc768c2f02f9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-06-19T14:00:03Z",
    "title_canon_sha256": "7ca44b7e13c5f3658cb5754c1a2159a8e0166121d649320e2fc4b9899da92c3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.16325",
    "kind": "arxiv",
    "version": 3
  }
}