Pith Number

pith:HAJGIO6V

pith:2016:HAJGIO6VQ3YDNM3LLK4HPQGC3F

not attested not anchored not stored refs pending

Dependence of the heavily covered point on parameters

Alexey Balitskiy, Roman Karasev

arxiv:1602.05073 v1 · 2016-02-16 · math.MG · 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{HAJGIO6VQ3YDNM3LLK4HPQGC3F}

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	2026-05-18T01:20:37.580696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3812643bd586f036b36b5ab877c0c2d94679627ff17cc6281be1f989af983394

Aliases

arxiv: 1602.05073 · arxiv_version: 1602.05073v1 · doi: 10.48550/arxiv.1602.05073 · pith_short_12: HAJGIO6VQ3YD · pith_short_16: HAJGIO6VQ3YDNM3L · pith_short_8: HAJGIO6V

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/HAJGIO6VQ3YDNM3LLK4HPQGC3F \
  | 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: 3812643bd586f036b36b5ab877c0c2d94679627ff17cc6281be1f989af983394

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b27a6c4e9744346b67aa9f72f83cefa5f358d6bc6d4e3db40ff76c93bf3c2c94",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-02-16T16:15:19Z",
    "title_canon_sha256": "75a465ab13abe1b675ea7950dbf809bb84f96875159e621053d343fa4e3336d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05073",
    "kind": "arxiv",
    "version": 1
  }
}