Pith Number

pith:HVI5VFHB

pith:1997:HVI5VFHB52Y2M4UCXDVVAK6JED

not attested not anchored not stored refs pending

Linear maps on factors which preserve the extreme points of the unit ball

Lajos Molnar, Vania Mascioni

arxiv:math/9704216 v1 · 1997-04-22 · 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{HVI5VFHB52Y2M4UCXDVVAK6JED}

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	2026-05-18T01:05:36.961222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d51da94e1eeb1a67282b8eb502bc920eb020057e0354510fbd4643497695869

Aliases

arxiv: math/9704216 · arxiv_version: math/9704216v1 · doi: 10.48550/arxiv.math/9704216 · pith_short_12: HVI5VFHB52Y2 · pith_short_16: HVI5VFHB52Y2M4UC · pith_short_8: HVI5VFHB

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/HVI5VFHB52Y2M4UCXDVVAK6JED \
  | 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: 3d51da94e1eeb1a67282b8eb502bc920eb020057e0354510fbd4643497695869

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad7aee0eb3491ff0f4df833499bdd416ffa01ed274a136b6b4f826daa775d5af",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1997-04-22T00:00:00Z",
    "title_canon_sha256": "4bcb630c2c08f756f032b86aebd32a5fdbd6b556f16e92f466afd51b3594b188"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9704216",
    "kind": "arxiv",
    "version": 1
  }
}