Pith Number

pith:MG2MIBF5

pith:2014:MG2MIBF5SC6OOQYSAIHCWZCONX

not attested not anchored not stored refs pending

Incidences between points and lines in R^4

Micha Sharir, Noam Solomon

arxiv:1411.0777 v2 · 2014-11-04 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MG2MIBF5SC6OOQYSAIHCWZCONX}

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	2026-05-18T02:20:28.560587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61b4c404bd90bce74312020e2b644e6dd0866b281e117840e46d7aa5af18df59

Aliases

arxiv: 1411.0777 · arxiv_version: 1411.0777v2 · doi: 10.48550/arxiv.1411.0777 · pith_short_12: MG2MIBF5SC6O · pith_short_16: MG2MIBF5SC6OOQYS · pith_short_8: MG2MIBF5

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/MG2MIBF5SC6OOQYSAIHCWZCONX \
  | 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: 61b4c404bd90bce74312020e2b644e6dd0866b281e117840e46d7aa5af18df59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e13fc53dafd5ef08f48f55872e70cb4f97efffd9e6b81d8aafc49abb092eaad3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-04T03:47:53Z",
    "title_canon_sha256": "64c3d7ac53df1cc85ab1dd354537cda04f17f98c1798039ef70d0fb379c3b3e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0777",
    "kind": "arxiv",
    "version": 2
  }
}