Pith Number

pith:65D2EVE2

pith:2011:65D2EVE2W6JUQCPEL6B2X2WFPB

not attested not anchored not stored refs pending

An incidence theorem in higher dimensions

Jozsef Solymosi, Terence Tao

arxiv:1103.2926 v6 · 2011-03-15 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{65D2EVE2W6JUQCPEL6B2X2WFPB}

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	2026-05-18T00:48:37.870593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f747a2549ab7934809e45f83abeac5785f9b90fa8dea4eff03d2ebb54b4181a3

Aliases

arxiv: 1103.2926 · arxiv_version: 1103.2926v6 · doi: 10.48550/arxiv.1103.2926 · pith_short_12: 65D2EVE2W6JU · pith_short_16: 65D2EVE2W6JUQCPE · pith_short_8: 65D2EVE2

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/65D2EVE2W6JUQCPEL6B2X2WFPB \
  | 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: f747a2549ab7934809e45f83abeac5785f9b90fa8dea4eff03d2ebb54b4181a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ae5bbfb0fc74a20341db7770b6ded74477f03b9ee629d3c232c8a633126a60b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-15T14:47:16Z",
    "title_canon_sha256": "ad529c6bce8f14ae115cad10687d14a19eed2d7f9ddbbc0e87a50c4475987d48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2926",
    "kind": "arxiv",
    "version": 6
  }
}