Pith Number

pith:2ZS4FF3S

pith:2007:2ZS4FF3SLNBKJTDA26GZYB3ENV

not attested not anchored not stored refs pending

On minimal norms on $M_n$

Madjid Mirzavaziri, Mohammad Sal Moslehian

arxiv:0708.3358 v1 · 2007-08-24 · 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{2ZS4FF3SLNBKJTDA26GZYB3ENV}

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	2026-05-18T02:16:22.059920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d665c297725b42a4cc60d78d9c07646d47a1d8eea1b72c6c833310bf22d59fde

Aliases

arxiv: 0708.3358 · arxiv_version: 0708.3358v1 · doi: 10.48550/arxiv.0708.3358 · pith_short_12: 2ZS4FF3SLNBK · pith_short_16: 2ZS4FF3SLNBKJTDA · pith_short_8: 2ZS4FF3S

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/2ZS4FF3SLNBKJTDA26GZYB3ENV \
  | 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: d665c297725b42a4cc60d78d9c07646d47a1d8eea1b72c6c833310bf22d59fde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bafecff34911e659869f1c8fd316d49be41a1fbeca84e5b1d40d2c9519012b7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2007-08-24T15:33:59Z",
    "title_canon_sha256": "2e2303ecbc99a0e788b6c4a30982951d46267d21e8d652108e0180e0e84fa69e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.3358",
    "kind": "arxiv",
    "version": 1
  }
}