Pith Number

pith:RV4W7OYK

pith:2020:RV4W7OYKJFKMZH2WQZ74HYBGFA

not attested not anchored not stored refs pending

The Elser nuclei sum revisited

Darij Grinberg

arxiv:2009.11527 v10 · 2020-09-24 · 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{RV4W7OYKJFKMZH2WQZ74HYBGFA}

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.

Cited by

1 paper in Pith

Graph theoretic properties of Speyer's matroid polynomial $g_M(t)$

Receipt and verification

First computed	2026-07-05T06:23:30.977158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d796fbb0a4954cc9f56867fc3e026280a3720d55d394dca4e3082001ac2f0dd

Aliases

arxiv: 2009.11527 · arxiv_version: 2009.11527v10 · doi: 10.48550/arxiv.2009.11527 · pith_short_12: RV4W7OYKJFKM · pith_short_16: RV4W7OYKJFKMZH2W · pith_short_8: RV4W7OYK

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/RV4W7OYKJFKMZH2WQZ74HYBGFA \
  | 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: 8d796fbb0a4954cc9f56867fc3e026280a3720d55d394dca4e3082001ac2f0dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48de1bd0233ed88fcc3a54e982edd27b03a4c7544532e6b1c5cd71e6df9d454b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-09-24T07:36:30Z",
    "title_canon_sha256": "976d393765fd731d11c77eaec9698dbe6558377b61bc31687159551d0913198a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.11527",
    "kind": "arxiv",
    "version": 10
  }
}