Pith Number

pith:BNV3AKWS

pith:2018:BNV3AKWS3BYTII7UOZMIKIIO63

not attested not anchored not stored refs pending

On the gaps of the spectrum of volumes of trades

Denis S. Krotov (Sobolev Institute of Mathematics, Novosibirsk, Russia)

arxiv:1811.00015 v1 · 2018-10-31 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BNV3AKWS3BYTII7UOZMIKIIO63}

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	2026-05-18T00:01:48.438820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b6bb02ad2d8713423f4765885210ef6e3989905329e87a288fd9fef51bf26ac

Aliases

arxiv: 1811.00015 · arxiv_version: 1811.00015v1 · doi: 10.48550/arxiv.1811.00015 · pith_short_12: BNV3AKWS3BYT · pith_short_16: BNV3AKWS3BYTII7U · pith_short_8: BNV3AKWS

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/BNV3AKWS3BYTII7UOZMIKIIO63 \
  | 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: 0b6bb02ad2d8713423f4765885210ef6e3989905329e87a288fd9fef51bf26ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a8ee81428d3eb9b67c9c88dcd79efd7a8b47fb9ac8e0f5bef3baabff2afae9c",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-31T18:00:01Z",
    "title_canon_sha256": "ab21ce81e0d00be14d53f38414831f824b543997ba2fa77ff04cf73ab11a9570"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.00015",
    "kind": "arxiv",
    "version": 1
  }
}