Pith Number

pith:DFJV7DQN

pith:2011:DFJV7DQNCOOSBIWWK7RE4XLP3C

not attested not anchored not stored refs pending

A remark on the slicing problem

Apostolos Giannopoulos, Beatrice-Helen Vritsiou, Grigoris Paouris

arxiv:1107.4527 v1 · 2011-07-22 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DFJV7DQNCOOSBIWWK7RE4XLP3C}

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	2026-05-18T04:17:03.877441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19535f8e0d139d20a2d657e24e5d6fd8b9cb2d9d9749ec96285a6e7daf9bcc52

Aliases

arxiv: 1107.4527 · arxiv_version: 1107.4527v1 · doi: 10.48550/arxiv.1107.4527 · pith_short_12: DFJV7DQNCOOS · pith_short_16: DFJV7DQNCOOSBIWW · pith_short_8: DFJV7DQN

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/DFJV7DQNCOOSBIWWK7RE4XLP3C \
  | 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: 19535f8e0d139d20a2d657e24e5d6fd8b9cb2d9d9749ec96285a6e7daf9bcc52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3456df017851cb995611e329bccf57069bf695400b57e2917aafc878205e85b0",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-07-22T14:31:13Z",
    "title_canon_sha256": "21a546b593478e2c501f969ec4697327713f7a067aad83a822f31c81b74b7cef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4527",
    "kind": "arxiv",
    "version": 1
  }
}