Pith Number

pith:CN3E2KI5

pith:2017:CN3E2KI554ZOP3UDSZ54ILY7HD

not attested not anchored not stored refs pending

Cube is a strict local maximizer for the illumination number

Galyna Livshyts, Konstantin Tikhomirov

arxiv:1710.05070 v1 · 2017-10-13 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CN3E2KI554ZOP3UDSZ54ILY7HD}

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	2026-05-18T00:32:54.489669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13764d291def32e7ee83967bc42f1f38e260700ac3dfa68b7f68eb798dca7361

Aliases

arxiv: 1710.05070 · arxiv_version: 1710.05070v1 · doi: 10.48550/arxiv.1710.05070 · pith_short_12: CN3E2KI554ZO · pith_short_16: CN3E2KI554ZOP3UD · pith_short_8: CN3E2KI5

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/CN3E2KI554ZOP3UDSZ54ILY7HD \
  | 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: 13764d291def32e7ee83967bc42f1f38e260700ac3dfa68b7f68eb798dca7361

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fe71fe8afa0d884089081ab909c22557499df785ee2b15b91479d26f23f26a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-10-13T20:37:19Z",
    "title_canon_sha256": "9d4aea4c42f3ab09b5cc19929d33248330fdf804c0a3af23c35d61e5b02502a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05070",
    "kind": "arxiv",
    "version": 1
  }
}