Pith Number

pith:A7WIXMCD

pith:2024:A7WIXMCDM6GKSPIWWW76V4QLR7

not attested not anchored not stored refs pending

Sharp systolic inequalities for invariant tight contact forms on principal S1-bundles over S2

Simon Vialaret

arxiv:2403.02228 v3 · 2024-03-04 · math.SG · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A7WIXMCDM6GKSPIWWW76V4QLR7}

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

Symplectic capacities of $S^1$-invariant dynamically convex domains in $\mathbb{R}^4$

Receipt and verification

First computed	2026-07-05T08:30:32.168860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07ec8bb043678ca93d16b5bfeaf20b8fd47097292060180156ac7e082cff5081

Aliases

arxiv: 2403.02228 · arxiv_version: 2403.02228v3 · doi: 10.48550/arxiv.2403.02228 · pith_short_12: A7WIXMCDM6GK · pith_short_16: A7WIXMCDM6GKSPIW · pith_short_8: A7WIXMCD

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/A7WIXMCDM6GKSPIWWW76V4QLR7 \
  | 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: 07ec8bb043678ca93d16b5bfeaf20b8fd47097292060180156ac7e082cff5081

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e034dfd2ea237ba532e01b4c62af47308806e922f5eb9474a066ba935cb91e31",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2024-03-04T17:16:06Z",
    "title_canon_sha256": "d77c6299e3110f1639ae493a097e148dbe962da68c03716c78861eeaef044a3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.02228",
    "kind": "arxiv",
    "version": 3
  }
}