Pith Number

pith:2EEVWF2H

pith:2022:2EEVWF2H2BLGDGOLL23FAFUPSO

not attested not anchored not stored refs pending

Balancing permuted copies of multigraphs and integer matrices

Coen del Valle, Peter J. Dukes

arxiv:2201.00897 v3 · 2022-01-03 · 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{2EEVWF2H2BLGDGOLL23FAFUPSO}

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	2026-06-12T01:09:02.933688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1095b1747d0566199cb5eb650168f93a4c3020933eb92440ae8bdfa7441d976

Aliases

arxiv: 2201.00897 · arxiv_version: 2201.00897v3 · doi: 10.48550/arxiv.2201.00897 · pith_short_12: 2EEVWF2H2BLG · pith_short_16: 2EEVWF2H2BLGDGOL · pith_short_8: 2EEVWF2H

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/2EEVWF2H2BLGDGOLL23FAFUPSO \
  | 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: d1095b1747d0566199cb5eb650168f93a4c3020933eb92440ae8bdfa7441d976

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19bf1cde10cdf3b25ce0e9d1c4d953070281b42c6d12396b559b5f64a738e8a3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-01-03T22:39:41Z",
    "title_canon_sha256": "baf6dd84e1d3459d3b371607e0f97539a7c4f1bcac7275b90b7d092046bde7d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.00897",
    "kind": "arxiv",
    "version": 3
  }
}