Pith Number

pith:6XSZOSBF

pith:2015:6XSZOSBF4IAFAQPW6HUW2HLZ7U

not attested not anchored not stored refs pending

Quadro-quadric special birational transformations from projective spaces to smooth complete intersections

Qifeng Li

arxiv:1503.03385 v1 · 2015-03-11 · 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{6XSZOSBF4IAFAQPW6HUW2HLZ7U}

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	2026-05-18T02:25:03.731709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5e5974825e2005041f6f1e96d1d79fd3072c53271c7ecf5c2073b67c63372cc

Aliases

arxiv: 1503.03385 · arxiv_version: 1503.03385v1 · doi: 10.48550/arxiv.1503.03385 · pith_short_12: 6XSZOSBF4IAF · pith_short_16: 6XSZOSBF4IAFAQPW · pith_short_8: 6XSZOSBF

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/6XSZOSBF4IAFAQPW6HUW2HLZ7U \
  | 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: f5e5974825e2005041f6f1e96d1d79fd3072c53271c7ecf5c2073b67c63372cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5e72321c2b01a762968862551d7aaf818d2be8f06dadd24cf7bd7c55292e78c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-03-11T15:46:58Z",
    "title_canon_sha256": "49813023441d58a3ed813a5785785390670d10e2e8dcaba43f48c82c2bdfcd07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03385",
    "kind": "arxiv",
    "version": 1
  }
}