Pith Number

pith:HK55KHHN

pith:2019:HK55KHHNL7SACTRGXCJ72J6RCH

not attested not anchored not stored refs pending

Bounded volume denominators and bounded negativity

Alex K\"uronya, Brian Harbourne, Matthias Nickel, Thomas Bauer

arxiv:1904.07486 v1 · 2019-04-16 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HK55KHHNL7SACTRGXCJ72J6RCH}

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	2026-05-17T23:48:25.096352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3abbd51ced5fe4014e26b893fd27d111fa4ae90636dca71969da0b2ffd9111cb

Aliases

arxiv: 1904.07486 · arxiv_version: 1904.07486v1 · doi: 10.48550/arxiv.1904.07486 · pith_short_12: HK55KHHNL7SA · pith_short_16: HK55KHHNL7SACTRG · pith_short_8: HK55KHHN

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/HK55KHHNL7SACTRGXCJ72J6RCH \
  | 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: 3abbd51ced5fe4014e26b893fd27d111fa4ae90636dca71969da0b2ffd9111cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "355bb0d500446c1cdebed044ccee724b4db6b78b0c807712bc87adade43c979c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-04-16T06:18:00Z",
    "title_canon_sha256": "4217e7227f8da567798b69aca222ab833b0845b9d1315824071f3a21c063b955"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07486",
    "kind": "arxiv",
    "version": 1
  }
}