Pith Number

pith:MZZDNFMR

pith:2012:MZZDNFMRJ2U2Q44TW6KOSRORTJ

not attested not anchored not stored refs pending

Sylvester-Gallai type theorems for approximate collinearity

Albert Ai, Avi Wigderson, Shubhangi Saraf, Zeev Dvir

arxiv:1211.0331 v1 · 2012-11-02 · math.CO · cs.CC · cs.CG · 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{MZZDNFMRJ2U2Q44TW6KOSRORTJ}

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	2026-05-18T03:41:41.526124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66723695914ea9a87393b794e945d19a6974155fb541e15c71380f20b9197739

Aliases

arxiv: 1211.0331 · arxiv_version: 1211.0331v1 · doi: 10.48550/arxiv.1211.0331 · pith_short_12: MZZDNFMRJ2U2 · pith_short_16: MZZDNFMRJ2U2Q44T · pith_short_8: MZZDNFMR

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/MZZDNFMRJ2U2Q44TW6KOSRORTJ \
  | 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: 66723695914ea9a87393b794e945d19a6974155fb541e15c71380f20b9197739

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "103fec8968cbca868c511a8862c5ca54bd21db021a99680e762bf624e6ce94cd",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.CG",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-02T00:19:26Z",
    "title_canon_sha256": "1ca40bcb0b536f2ab2e53485841335e18281a8daf12244acd7b4fe50b9c556d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0331",
    "kind": "arxiv",
    "version": 1
  }
}