Pith Number

pith:B2QMJMLG

pith:2020:B2QMJMLGKU3IP6OKIJTBSZENHS

not attested not anchored not stored refs pending

Graphs with few trivial characteristic ideals

Carlos A. Alfaro, John Sinkovic, Michael D. Barrus, Ralihe R. Villagr\'an

arxiv:2004.00172 v1 · 2020-04-01 · 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{B2QMJMLGKU3IP6OKIJTBSZENHS}

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	2026-07-05T00:51:57.198076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ea0c4b166553687f9ca426619648d3c928bd69a90871f3f0e6ffbaad65a87b1

Aliases

arxiv: 2004.00172 · arxiv_version: 2004.00172v1 · doi: 10.48550/arxiv.2004.00172 · pith_short_12: B2QMJMLGKU3I · pith_short_16: B2QMJMLGKU3IP6OK · pith_short_8: B2QMJMLG

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/B2QMJMLGKU3IP6OKIJTBSZENHS \
  | 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: 0ea0c4b166553687f9ca426619648d3c928bd69a90871f3f0e6ffbaad65a87b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d821cf07d4c1fb880b22d71e2d28ed0ab0fc71dce6cbc60c9f393f5cb1e1a20f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-04-01T00:06:59Z",
    "title_canon_sha256": "cbabb50e99343c77edefb44cb7aa9fc085a42846e78880c5de28a749e17fc8de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.00172",
    "kind": "arxiv",
    "version": 1
  }
}