Pith Number

pith:B4B2HOFO

pith:2011:B4B2HOFO42JVPB56V3GLW77VL3

not attested not anchored not stored refs pending

Multi-parameter projection theorems with applications to sums-products and finite point configurations in the Euclidean setting

A. Iosevich, B. Erdo\u{g}an, D. Hart

arxiv:1106.5544 v1 · 2011-06-28 · math.CA · math.CO · 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{B4B2HOFO42JVPB56V3GLW77VL3}

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	2026-05-18T04:19:12.969076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f03a3b8aee6935787beaeccbb7ff55ee6b05a253c1a9db4d9ea3e3ff44801f6

Aliases

arxiv: 1106.5544 · arxiv_version: 1106.5544v1 · doi: 10.48550/arxiv.1106.5544 · pith_short_12: B4B2HOFO42JV · pith_short_16: B4B2HOFO42JVPB56 · pith_short_8: B4B2HOFO

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/B4B2HOFO42JVPB56V3GLW77VL3 \
  | 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: 0f03a3b8aee6935787beaeccbb7ff55ee6b05a253c1a9db4d9ea3e3ff44801f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb28619e2de73e0a881a478934fef8e023a5653b8203eaa1b5bd94db1f22531c",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-06-28T00:27:29Z",
    "title_canon_sha256": "578e555f70d2eeefdf9a65ff46ed96f3a23e7cb91b4295eeca1714e2a2f86179"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5544",
    "kind": "arxiv",
    "version": 1
  }
}