Pith Number

pith:GUVT7SSY

pith:2015:GUVT7SSYLM5TO5VWJO5RJXF7RE

not attested not anchored not stored refs pending

Stringy $E$-functions of Pfaffian-Grassmannian double mirrors

Anatoly Libgober, Lev Borisov

arxiv:1502.03702 v2 · 2015-02-12 · 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{GUVT7SSYLM5TO5VWJO5RJXF7RE}

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	2026-05-18T02:26:29.724627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

352b3fca585b3b3776b64bbb14dcbf892b5a63f72d43939496d76f15033bea87

Aliases

arxiv: 1502.03702 · arxiv_version: 1502.03702v2 · doi: 10.48550/arxiv.1502.03702 · pith_short_12: GUVT7SSYLM5T · pith_short_16: GUVT7SSYLM5TO5VW · pith_short_8: GUVT7SSY

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/GUVT7SSYLM5TO5VWJO5RJXF7RE \
  | 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: 352b3fca585b3b3776b64bbb14dcbf892b5a63f72d43939496d76f15033bea87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8197a4deb35d4647b5bcd7ff6032d5f3068b5c72962383152e02b667264a7e45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-02-12T15:35:37Z",
    "title_canon_sha256": "2cde613975835bd4226e8e2078584f71ac2680d0d0de5f1dfe0027043b815f34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03702",
    "kind": "arxiv",
    "version": 2
  }
}