Pith Number

pith:FKTEJWBH

pith:2014:FKTEJWBHONB3TJJYPJ4ERTPWNB

not attested not anchored not stored refs pending

On the number of rich lines in truly high dimensional sets

Sivakanth Gopi, Zeev Dvir

arxiv:1412.1060 v1 · 2014-12-02 · math.CO · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FKTEJWBHONB3TJJYPJ4ERTPWNB}

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	2026-05-18T02:32:15.013387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aa644d8277343b9a5387a7848cdf6687d22e4a1dc356afb123be25619013fc6

Aliases

arxiv: 1412.1060 · arxiv_version: 1412.1060v1 · doi: 10.48550/arxiv.1412.1060 · pith_short_12: FKTEJWBHONB3 · pith_short_16: FKTEJWBHONB3TJJY · pith_short_8: FKTEJWBH

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/FKTEJWBHONB3TJJYPJ4ERTPWNB \
  | 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: 2aa644d8277343b9a5387a7848cdf6687d22e4a1dc356afb123be25619013fc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9016998829612d7c67c5d1bb4b6507eef7b3fa4dce496c6ba36c1b8ea976132a",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-02T20:45:22Z",
    "title_canon_sha256": "ee6f8ff8b201bc5a9f3114cb656d72b92729fb897a92308b59a7b3a2ececd45d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1060",
    "kind": "arxiv",
    "version": 1
  }
}