Pith Number

pith:HAA4A75W

pith:2023:HAA4A75WURNBKIAZAKELHGDLRD

not attested not anchored not stored refs pending

Lecture notes on algebraic methods in combinatorics

Raul Penaguiao

arxiv:2308.14137 v1 · 2023-08-27 · 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{HAA4A75WURNBKIAZAKELHGDLRD}

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	2026-07-05T06:45:22.179776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3801c07fb6a45a1520190288b3986b88ee906356ae1bc7f9b029d0724a4134bb

Aliases

arxiv: 2308.14137 · arxiv_version: 2308.14137v1 · doi: 10.48550/arxiv.2308.14137 · pith_short_12: HAA4A75WURNB · pith_short_16: HAA4A75WURNBKIAZ · pith_short_8: HAA4A75W

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/HAA4A75WURNBKIAZAKELHGDLRD \
  | 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: 3801c07fb6a45a1520190288b3986b88ee906356ae1bc7f9b029d0724a4134bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f06082aa87536028873bae00b5b0a2b97748918677e29156725ecb36c5ed644c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-08-27T15:34:29Z",
    "title_canon_sha256": "484c2df3848249e7fd12c1a716d02115fcdf18783582af83e297d62b9c45acea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.14137",
    "kind": "arxiv",
    "version": 1
  }
}