Pith Number

pith:FEDIINYR

pith:2026:FEDIINYRR3SV5PNTA4CWJP6BVE

not attested not anchored not stored refs pending

Linear Programming Bounds for Fibered Sphere Packings

Andrew Salmon

arxiv:2607.25254 v1 · 2026-07-28 · math.MG · math.FA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FEDIINYRR3SV5PNTA4CWJP6BVE}

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	2026-07-29T00:25:10.947340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29068437118ee55ebdb3070564bfc1a92ee00d46a7e3c65288d1ed596b9a3c23

Aliases

arxiv: 2607.25254 · arxiv_version: 2607.25254v1 · doi: 10.48550/arxiv.2607.25254 · pith_short_12: FEDIINYRR3SV · pith_short_16: FEDIINYRR3SV5PNT · pith_short_8: FEDIINYR

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/FEDIINYRR3SV5PNTA4CWJP6BVE \
  | 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: 29068437118ee55ebdb3070564bfc1a92ee00d46a7e3c65288d1ed596b9a3c23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5bf45ee68e439289764a028b4e67de8a8000099617ecfaa694d83ca5da2d814",
    "cross_cats_sorted": [
      "math.FA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-07-28T03:55:29Z",
    "title_canon_sha256": "a1cf6a4c23187d58ed59bf3606a6b8c6c827219f1fdac5d883aaad7b4483cfd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25254",
    "kind": "arxiv",
    "version": 1
  }
}