Pith Number

pith:NSLS2ZBR

pith:2014:NSLS2ZBRPJWTPKY5KAZW2R4KAZ

not attested not anchored not stored refs pending

Effective Bounds of Linear Series on Algebraic Varieties and Arithmetic Varieties

Tong Zhang, Xinyi Yuan

arxiv:1401.5772 v1 · 2014-01-22 · math.NT · 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{NSLS2ZBRPJWTPKY5KAZW2R4KAZ}

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	2026-05-18T03:01:24.691140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c972d64317a6d37ab1d50336d478a0667b886c405370367fd1c88fd61de3721

Aliases

arxiv: 1401.5772 · arxiv_version: 1401.5772v1 · doi: 10.48550/arxiv.1401.5772 · pith_short_12: NSLS2ZBRPJWT · pith_short_16: NSLS2ZBRPJWTPKY5 · pith_short_8: NSLS2ZBR

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/NSLS2ZBRPJWTPKY5KAZW2R4KAZ \
  | 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: 6c972d64317a6d37ab1d50336d478a0667b886c405370367fd1c88fd61de3721

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "723ad627117a39ce20ce23323da95387537ceb77f2ef61d5aaaa1d11fab00f19",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-01-22T20:04:35Z",
    "title_canon_sha256": "918f7a168eee9bc46adc0c7d154136a365a4994eff07e34140bd40f8ec441e65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5772",
    "kind": "arxiv",
    "version": 1
  }
}