Pith Number

pith:VYR3Q4SL

pith:2020:VYR3Q4SLT3KOA5ROD3VPTYPV3L

not attested not anchored not stored refs pending

The period-index problem for elliptic curves and the essential dimension of Picard stacks

Anningzhe Gao

arxiv:2002.11814 v4 · 2020-02-26 · 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{VYR3Q4SLT3KOA5ROD3VPTYPV3L}

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.

Cited by

1 paper in Pith

A Study on Messaging Trade-offs in Data Streaming for Scientific Workflows

Receipt and verification

First computed	2026-07-05T01:41:45.457963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae23b8724b9ed4e0762e1eeaf9e1f5dacf2da346948a6efb0edc39c18f55d867

Aliases

arxiv: 2002.11814 · arxiv_version: 2002.11814v4 · doi: 10.48550/arxiv.2002.11814 · pith_short_12: VYR3Q4SLT3KO · pith_short_16: VYR3Q4SLT3KOA5RO · pith_short_8: VYR3Q4SL

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/VYR3Q4SLT3KOA5ROD3VPTYPV3L \
  | 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: ae23b8724b9ed4e0762e1eeaf9e1f5dacf2da346948a6efb0edc39c18f55d867

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2481ce91748a5be8646e70f21bc44b7f5967c51ae1d27716509c2788fac3ee69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-02-26T21:58:30Z",
    "title_canon_sha256": "b56ee704ff6a2c5fcfb396e149e9d0a4916fccb54b375b19fe2fb683e184818f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.11814",
    "kind": "arxiv",
    "version": 4
  }
}