Pith Number

pith:RSFSDNJK

pith:2016:RSFSDNJKF6USWODUKRO4GMTZFJ

not attested not anchored not stored refs pending

The Elekes-Szab\'o Theorem in four dimensions

Frank de Zeeuw, Micha Sharir, Orit E. Raz

arxiv:1607.03600 v2 · 2016-07-13 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RSFSDNJKF6USWODUKRO4GMTZFJ}

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	2026-05-18T01:00:34.251764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c8b21b52a2fa92b3874545dc332792a4f76e6f68f39e07553fe5e6626e3e79e

Aliases

arxiv: 1607.03600 · arxiv_version: 1607.03600v2 · doi: 10.48550/arxiv.1607.03600 · pith_short_12: RSFSDNJKF6US · pith_short_16: RSFSDNJKF6USWODU · pith_short_8: RSFSDNJK

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/RSFSDNJKF6USWODUKRO4GMTZFJ \
  | 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: 8c8b21b52a2fa92b3874545dc332792a4f76e6f68f39e07553fe5e6626e3e79e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33aa81d165d2b8bc82f3bd7ba7e3fc1b21f2f32cb75447cd2115384848ac6fb3",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-13T06:24:07Z",
    "title_canon_sha256": "9158e0bc2ec88caf785ec3a3c45c5345fc1d402997dee38642c1f4d2a91f7a13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03600",
    "kind": "arxiv",
    "version": 2
  }
}