Pith Number

pith:ZICXCGZB

pith:2013:ZICXCGZBF5WPK34K55TZPF7OXW

not attested not anchored not stored refs pending

Slicing inequalities for subspaces of $L_p.$

Alexander Koldobsky

arxiv:1310.8102 v1 · 2013-10-30 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZICXCGZBF5WPK34K55TZPF7OXW}

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	2026-05-18T03:08:26.020273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca05711b212f6cf56f8aef679797eebd9422ec095927272fc9463b27278587a7

Aliases

arxiv: 1310.8102 · arxiv_version: 1310.8102v1 · doi: 10.48550/arxiv.1310.8102 · pith_short_12: ZICXCGZBF5WP · pith_short_16: ZICXCGZBF5WPK34K · pith_short_8: ZICXCGZB

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/ZICXCGZBF5WPK34K55TZPF7OXW \
  | 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: ca05711b212f6cf56f8aef679797eebd9422ec095927272fc9463b27278587a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ac6b81661edcd20408cc25189480297ef32a27e2bd3d34c5d9949ef37fb26a8",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-10-30T11:01:00Z",
    "title_canon_sha256": "79788da412b7f99cb07580df8dedf14c9474ad235db938b196c3d769e8c1fc10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8102",
    "kind": "arxiv",
    "version": 1
  }
}