Pith Number

pith:YXREGJWL

pith:2014:YXREGJWL6PD3NHQ7VYB472N34J

not attested not anchored not stored refs pending

On compositions with $x^2/(1-x)$

Christopher Seaton, Daniel Herden, Hans-Christian Herbig

arxiv:1404.1022 v1 · 2014-04-03 · math.SG · math.AC · 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{YXREGJWL6PD3NHQ7VYB472N34J}

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	2026-05-18T01:18:57.641328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5e24326cbf3c7b69e1fae03cfe9bbe26e38a229f99eeeee19ca9bf4e38c40ad

Aliases

arxiv: 1404.1022 · arxiv_version: 1404.1022v1 · doi: 10.48550/arxiv.1404.1022 · pith_short_12: YXREGJWL6PD3 · pith_short_16: YXREGJWL6PD3NHQ7 · pith_short_8: YXREGJWL

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/YXREGJWL6PD3NHQ7VYB472N34J \
  | 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: c5e24326cbf3c7b69e1fae03cfe9bbe26e38a229f99eeeee19ca9bf4e38c40ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d44077124d18ff3e9f6c9be415cfced5fe19ee24e2b7b8d975c66c43330eadc",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-04-03T17:37:05Z",
    "title_canon_sha256": "59ba274ae80aa618fd8b488a2c669ce82c86b2f0578602b653cafa4a93c5b5df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1022",
    "kind": "arxiv",
    "version": 1
  }
}