Pith Number

pith:DWK34ELE

pith:2025:DWK34ELE2SLAJENFKEU4FB7VAP

not attested not anchored not stored refs pending

When are Hopf algebras determined by integer sequences?

Eric Schlums, F\'elix G\'elinas, Lucas Gagnon, Mike Zabrocki, Nicolas Andrews

arxiv:2505.06941 v2 · 2025-05-11 · 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{DWK34ELE2SLAJENFKEU4FB7VAP}

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	2026-05-25T02:02:07.107481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d95be1164d4960491a55129c287f503e0740b7cf0a3a8a5ebfa4f9f7a129325

Aliases

arxiv: 2505.06941 · arxiv_version: 2505.06941v2 · doi: 10.48550/arxiv.2505.06941 · pith_short_12: DWK34ELE2SLA · pith_short_16: DWK34ELE2SLAJENF · pith_short_8: DWK34ELE

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/DWK34ELE2SLAJENFKEU4FB7VAP \
  | 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: 1d95be1164d4960491a55129c287f503e0740b7cf0a3a8a5ebfa4f9f7a129325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec2011c6e5934de7a76f06adf67642e6e9d3a9032ffb2c6a06bdb2d21092d8fc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-11T11:13:50Z",
    "title_canon_sha256": "3cd37c86973c1fdf2c05695eb2376ad8c9c629647a5d8972d3bf01ad40eb3b15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.06941",
    "kind": "arxiv",
    "version": 2
  }
}