Pith Number

pith:6LDKO5U5

pith:2013:6LDKO5U5TR4S7D6RGOYIF2K52X

not attested not anchored not stored refs pending

Quantitative Grothendieck Property

Hana Bendov\'a

arxiv:1309.4684 v1 · 2013-09-18 · 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{6LDKO5U5TR4S7D6RGOYIF2K52X}

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	2026-05-18T01:32:35.138593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2c6a7769d9c792f8fd133b082e95dd5d2236cd59751d58d84cf43fc8ff4ad74

Aliases

arxiv: 1309.4684 · arxiv_version: 1309.4684v1 · doi: 10.48550/arxiv.1309.4684 · pith_short_12: 6LDKO5U5TR4S · pith_short_16: 6LDKO5U5TR4S7D6R · pith_short_8: 6LDKO5U5

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/6LDKO5U5TR4S7D6RGOYIF2K52X \
  | 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: f2c6a7769d9c792f8fd133b082e95dd5d2236cd59751d58d84cf43fc8ff4ad74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10a8d2f12d08df78285bf6baf79060be12831e1524303805fba1d9e459b9a1af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-18T15:43:01Z",
    "title_canon_sha256": "3ce2191395132228635db5a5156ac987805687341527922c7859921714529e27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4684",
    "kind": "arxiv",
    "version": 1
  }
}