Pith Number

pith:YXRF5AFZ

pith:1992:YXRF5AFZRTWQAEROKRWED2Z26J

not attested not anchored not stored refs pending

Computing p-summing norms with few vectors

Gideon Schechtman, William B. Johnson

arxiv:math/9209215 v1 · 1992-09-22 · 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{YXRF5AFZRTWQAEROKRWED2Z26J}

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	2026-05-18T01:05:52.661324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5e25e80b98ced00122e546c41eb3af2639bb082463907c4ad71146ecc0b83ac

Aliases

arxiv: math/9209215 · arxiv_version: math/9209215v1 · doi: 10.48550/arxiv.math/9209215 · pith_short_12: YXRF5AFZRTWQ · pith_short_16: YXRF5AFZRTWQAERO · pith_short_8: YXRF5AFZ

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/YXRF5AFZRTWQAEROKRWED2Z26J \
  | 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: c5e25e80b98ced00122e546c41eb3af2639bb082463907c4ad71146ecc0b83ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca1f2d4ac57df0d063c9f9aeb536c688a84e344ac75f8b4bf02026c3b496db08",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1992-09-22T18:29:48Z",
    "title_canon_sha256": "8532e32d96372980d4516b3bea2151a2721aa6b04c3932e2e1da2b9f78a2cf1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9209215",
    "kind": "arxiv",
    "version": 1
  }
}