Pith Number

pith:BVXJJU4Y

pith:2016:BVXJJU4YASXB3724QTNF54FMLE

not attested not anchored not stored refs pending

Linear equations on real algebraic surfaces

Krzysztof Kurdyka, Wojciech Kucharz

arxiv:1602.01986 v2 · 2016-02-05 · 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{BVXJJU4YASXB3724QTNF54FMLE}

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	2026-05-18T01:16:14.266600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d6e94d39804ae1dff5c84da5ef0ac59211c0b0523719ef3f050d975d1f65220

Aliases

arxiv: 1602.01986 · arxiv_version: 1602.01986v2 · doi: 10.48550/arxiv.1602.01986 · pith_short_12: BVXJJU4YASXB · pith_short_16: BVXJJU4YASXB3724 · pith_short_8: BVXJJU4Y

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/BVXJJU4YASXB3724QTNF54FMLE \
  | 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: 0d6e94d39804ae1dff5c84da5ef0ac59211c0b0523719ef3f050d975d1f65220

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2bd865f1c68c910d5c70445db94fb34410c1bb7de23e5ba5aff0237f3c5bc5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-02-05T11:41:35Z",
    "title_canon_sha256": "1067d60592bcb4cfa006c0052716a842d35d968849404bf99987363781444b12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01986",
    "kind": "arxiv",
    "version": 2
  }
}