Pith Number

pith:UGUI2B7P

pith:2017:UGUI2B7PJ75YB4RBLWEVX5VY7E

not attested not anchored not stored refs pending

Hopf monoids and generalized permutahedra

Federico Ardila, Marcelo Aguiar

arxiv:1709.07504 v1 · 2017-09-21 · 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{UGUI2B7PJ75YB4RBLWEVX5VY7E}

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.

Cited by

2 papers in Pith

The Hopf monoid and the basic invariant of directed graphs

Combinatorial Hopf algebras from restriction species with preorder cuts

Receipt and verification

First computed	2026-05-18T00:34:32.989272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1a88d07ef4ffb80f2215d895bf6b8f93b6ed36f06addaf18613c56a9e357255

Aliases

arxiv: 1709.07504 · arxiv_version: 1709.07504v1 · doi: 10.48550/arxiv.1709.07504 · pith_short_12: UGUI2B7PJ75Y · pith_short_16: UGUI2B7PJ75YB4RB · pith_short_8: UGUI2B7P

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/UGUI2B7PJ75YB4RBLWEVX5VY7E \
  | 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: a1a88d07ef4ffb80f2215d895bf6b8f93b6ed36f06addaf18613c56a9e357255

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e865c6f27ab4821e5bd2a80af51d11ad96ce50f5e33e824b11880a62c3bc86e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-21T19:47:14Z",
    "title_canon_sha256": "a4463cdf1c2d5055a424a28df535d12be030d8057ed800e86c65ab6ee4e56aa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07504",
    "kind": "arxiv",
    "version": 1
  }
}