Pith Number

pith:6B2PHLIE

pith:2010:6B2PHLIEOMVFD5GTHHN33LBXIJ

not attested not anchored not stored refs pending

Generalized compactness in linear spaces and its applications

M.E. Shirokov, V.Yu. Protasov

arxiv:1002.3610 v3 · 2010-02-18 · math.FA · math-ph · math.MG · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6B2PHLIEOMVFD5GTHHN33LBXIJ}

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	2026-05-18T02:08:59.342789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f074f3ad04732a51f4d339dbbdac374269eb7dc9d6e6303ee88413e31e7d20e3

Aliases

arxiv: 1002.3610 · arxiv_version: 1002.3610v3 · doi: 10.48550/arxiv.1002.3610 · pith_short_12: 6B2PHLIEOMVF · pith_short_16: 6B2PHLIEOMVFD5GT · pith_short_8: 6B2PHLIE

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/6B2PHLIEOMVFD5GTHHN33LBXIJ \
  | 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: f074f3ad04732a51f4d339dbbdac374269eb7dc9d6e6303ee88413e31e7d20e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "498dcd66049fd2c1c949290f3fad339f3e256e7c159f5597a51cdbae5632d775",
    "cross_cats_sorted": [
      "math-ph",
      "math.MG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-02-18T21:39:45Z",
    "title_canon_sha256": "f137bdccea07b48a83afdabb76d9c2e5315fd895b1c0c7c87bd353bc0af468fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3610",
    "kind": "arxiv",
    "version": 3
  }
}