Pith Number

pith:E6HWHGFE

pith:2019:E6HWHGFE3ORXRGGDTQZTLQR4BW

not attested not anchored not stored refs pending

Various Characterizations of Throttling Numbers

Joshua Carlson, Juergen Kritschgau

arxiv:1909.07952 v3 · 2019-09-17 · 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{E6HWHGFE3ORXRGGDTQZTLQR4BW}

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	2026-07-05T02:16:41.707869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

278f6398a4dba37898c39c3335c23c0db5d66666bef594081d3eadd210b49d94

Aliases

arxiv: 1909.07952 · arxiv_version: 1909.07952v3 · doi: 10.48550/arxiv.1909.07952 · pith_short_12: E6HWHGFE3ORX · pith_short_16: E6HWHGFE3ORXRGGD · pith_short_8: E6HWHGFE

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/E6HWHGFE3ORXRGGDTQZTLQR4BW \
  | 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: 278f6398a4dba37898c39c3335c23c0db5d66666bef594081d3eadd210b49d94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2f3b5e7e6c447b94e07318e0d9a62798f64e8ad825ae45ad16af6c07f786b36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-09-17T17:37:37Z",
    "title_canon_sha256": "c5479fb3235fa9f0f74ebb71fc0a17540ff17eec532b1d994460e12e37fa7080"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.07952",
    "kind": "arxiv",
    "version": 3
  }
}