Pith Number

pith:RIS4J75J

pith:2015:RIS4J75JYH4SLHNVSVB4ATE5M2

not attested not anchored not stored refs pending

Two rational nodal quartic threefolds

Constantin Shramov, Ivan Cheltsov

arxiv:1511.07508 v3 · 2015-11-23 · 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{RIS4J75JYH4SLHNVSVB4ATE5M2}

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	2026-05-18T01:17:52.188843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a25c4ffa9c1f9259db59543c04c9d66893e1c46108290e60f4bd1c38eaeec8b

Aliases

arxiv: 1511.07508 · arxiv_version: 1511.07508v3 · doi: 10.48550/arxiv.1511.07508 · pith_short_12: RIS4J75JYH4S · pith_short_16: RIS4J75JYH4SLHNV · pith_short_8: RIS4J75J

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/RIS4J75JYH4SLHNVSVB4ATE5M2 \
  | 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: 8a25c4ffa9c1f9259db59543c04c9d66893e1c46108290e60f4bd1c38eaeec8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ec636e320c0365dc0e5390ee45b204b304510f2ef7254707bcce2951152ecc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-23T23:41:48Z",
    "title_canon_sha256": "521ab30c51affab97f4bfdda2be9f3d43c816a09b45f14c06f1e15c3e381e046"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07508",
    "kind": "arxiv",
    "version": 3
  }
}