Pith Number

pith:3VKWZUJ7

pith:2013:3VKWZUJ7TW6JRLUS7NJC3KT2KX

not attested not anchored not stored refs pending

On duality of diameter 2 properties

Johann Langemets, M\"art P\~oldvere, Rainis Haller

arxiv:1311.2177 v1 · 2013-11-09 · 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{3VKWZUJ7TW6JRLUS7NJC3KT2KX}

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	2026-05-18T03:07:33.308614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd556cd13f9dbc98ae92fb522daa7a55fdba35b88292b3f18a2c1085e9d1e3be

Aliases

arxiv: 1311.2177 · arxiv_version: 1311.2177v1 · doi: 10.48550/arxiv.1311.2177 · pith_short_12: 3VKWZUJ7TW6J · pith_short_16: 3VKWZUJ7TW6JRLUS · pith_short_8: 3VKWZUJ7

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/3VKWZUJ7TW6JRLUS7NJC3KT2KX \
  | 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: dd556cd13f9dbc98ae92fb522daa7a55fdba35b88292b3f18a2c1085e9d1e3be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7795171c48d1eba29021e375596da7f854118e34ee77f69fb3c0fc0f6ae1c7c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-11-09T14:50:16Z",
    "title_canon_sha256": "f1e4aecb886003fe069f5395efe9323d75c6b0cef486fb131558720a798870e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2177",
    "kind": "arxiv",
    "version": 1
  }
}