Pith Number

pith:I6XIFWEZ

pith:2011:I6XIFWEZQAGIPR5C2MZDHEDJI7

not attested not anchored not stored refs pending

Lines induced by bichromatic point sets

Louis Theran

arxiv:1101.1488 v1 · 2011-01-07 · 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{I6XIFWEZQAGIPR5C2MZDHEDJI7}

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	2026-05-18T04:31:52.773552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47ae82d899800c87c7a2d33233906947ea99c98b8ec13ede5332c0e614944dbe

Aliases

arxiv: 1101.1488 · arxiv_version: 1101.1488v1 · doi: 10.48550/arxiv.1101.1488 · pith_short_12: I6XIFWEZQAGI · pith_short_16: I6XIFWEZQAGIPR5C · pith_short_8: I6XIFWEZ

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/I6XIFWEZQAGIPR5C2MZDHEDJI7 \
  | 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: 47ae82d899800c87c7a2d33233906947ea99c98b8ec13ede5332c0e614944dbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b20596932e67fece24755b906df8f6a8f048d1760553e3f984b34b3d99ad114",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-07T18:06:26Z",
    "title_canon_sha256": "e6d252457cd2c4d74d188300b7c4f6ab46cdc0adbe438404c56dc18b2e04415c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1488",
    "kind": "arxiv",
    "version": 1
  }
}