Pith Number

pith:A5RPGBNR

pith:2026:A5RPGBNRSX4RUPH3JH4TCPNAPM

not attested not anchored not stored refs pending

Extended generalized permutahedra, and cointeracting bialgebras

Dominique Manchon, Gunnar Fl{\o}ystad

arxiv:2607.10683 v1 · 2026-07-12 · math.RA · 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{A5RPGBNRSX4RUPH3JH4TCPNAPM}

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	2026-07-14T01:21:34.627465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0762f305b195f91a3cfb49f9313da07b3b3f3f1043147e8443c26ea566cd30b2

Aliases

arxiv: 2607.10683 · arxiv_version: 2607.10683v1 · doi: 10.48550/arxiv.2607.10683 · pith_short_12: A5RPGBNRSX4R · pith_short_16: A5RPGBNRSX4RUPH3 · pith_short_8: A5RPGBNR

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/A5RPGBNRSX4RUPH3JH4TCPNAPM \
  | 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: 0762f305b195f91a3cfb49f9313da07b3b3f3f1043147e8443c26ea566cd30b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac403f8cf72a525041e016b8d2a9e990f5c326005ecb213991498b4a011580c8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-07-12T10:09:45Z",
    "title_canon_sha256": "fce788cffab00b5e323700028b1b486c27ee1ef9437e9e4a715859d270613e8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10683",
    "kind": "arxiv",
    "version": 1
  }
}