Pith Number

pith:KK3ZNX7R

pith:2016:KK3ZNX7RVSXKTBO5CUIFWYYLTX

not attested not anchored not stored refs pending

Vector-Like Pairs and Brill--Noether Theory

Taizan Watari

arxiv:1608.00248 v2 · 2016-07-31 · hep-th · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KK3ZNX7RVSXKTBO5CUIFWYYLTX}

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	2026-05-18T00:22:11.253020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52b796dff1acaea985dd15105b630b9df31bc88e4ee49b9108acb25ddd6371cc

Aliases

arxiv: 1608.00248 · arxiv_version: 1608.00248v2 · doi: 10.48550/arxiv.1608.00248 · pith_short_12: KK3ZNX7RVSXK · pith_short_16: KK3ZNX7RVSXKTBO5 · pith_short_8: KK3ZNX7R

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/KK3ZNX7RVSXKTBO5CUIFWYYLTX \
  | 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: 52b796dff1acaea985dd15105b630b9df31bc88e4ee49b9108acb25ddd6371cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57c27c1596554145f53b2d5c2b401705bfbc2904f1209c4e8cd67cb52c822137",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-07-31T18:16:59Z",
    "title_canon_sha256": "a9b31a25225da805fb3cf3cadc0dd97c82b56ac6a06e78795d0f9af0dabe0fa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00248",
    "kind": "arxiv",
    "version": 2
  }
}