Pith Number

pith:KRTKHWEB

pith:2024:KRTKHWEBFYI7GGFBTGQ35IIWBX

not attested not anchored not stored refs pending

On the spectral capacity of submanifolds

Dylan Cant, Jun Zhang

arxiv:2409.14142 v1 · 2024-09-21 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KRTKHWEBFYI7GGFBTGQ35IIWBX}

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

Hamiltonian linking and Symplectic packing

Receipt and verification

First computed	2026-07-05T09:10:12.275868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5466a3d8812e11f318a199a1bea1160dd91b55c20801d32ed6624f8bbe187427

Aliases

arxiv: 2409.14142 · arxiv_version: 2409.14142v1 · doi: 10.48550/arxiv.2409.14142 · pith_short_12: KRTKHWEBFYI7 · pith_short_16: KRTKHWEBFYI7GGFB · pith_short_8: KRTKHWEB

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/KRTKHWEBFYI7GGFBTGQ35IIWBX \
  | 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: 5466a3d8812e11f318a199a1bea1160dd91b55c20801d32ed6624f8bbe187427

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec743206772c9603a8bb454eef07fa5a6622e0e9c494dcf9159dd46e81cce71f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2024-09-21T13:31:56Z",
    "title_canon_sha256": "19e3327f71a0adcc23b539e970771f0adeda1669dd27120cf6c5eb31a30f78c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.14142",
    "kind": "arxiv",
    "version": 1
  }
}