Pith Number

pith:OAPC2H4S

pith:2012:OAPC2H4SFCT5MTZTERVO4E45HN

not attested not anchored not stored refs pending

Majorization and arithmetic mean ideals

G. Weiss, V. Kaftal

arxiv:1201.4826 v1 · 2012-01-23 · 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{OAPC2H4SFCT5MTZTERVO4E45HN}

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	2026-05-18T04:04:05.163355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

701e2d1f9228a7d64f33246aee139d3b4be0e79c343c77918c4eb3cb53a17061

Aliases

arxiv: 1201.4826 · arxiv_version: 1201.4826v1 · doi: 10.48550/arxiv.1201.4826 · pith_short_12: OAPC2H4SFCT5 · pith_short_16: OAPC2H4SFCT5MTZT · pith_short_8: OAPC2H4S

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/OAPC2H4SFCT5MTZTERVO4E45HN \
  | 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: 701e2d1f9228a7d64f33246aee139d3b4be0e79c343c77918c4eb3cb53a17061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "362ec084909ac880be223b9d16e2c4a7f926e8bf7939fa9aef9a4baa560a8ad0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-01-23T19:25:14Z",
    "title_canon_sha256": "71f6c0e6eb7523c3a09010c7f6ba3f3d25d6df26c93a164a7447a393c4161c97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4826",
    "kind": "arxiv",
    "version": 1
  }
}