Pith Number

pith:DID3ZM6X

pith:2026:DID3ZM6X7KSTVUHFJHUQ2QJIYF

not attested not anchored not stored refs pending

Tridendriform algebras on hypergraph polytopes, the other way around

B\'er\'enice Delcroix-Oger, Jovana Obradovi\'c, Pierre-Louis Curien

arxiv:2606.17755 v1 · 2026-06-16 · 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{DID3ZM6X7KSTVUHFJHUQ2QJIYF}

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	2026-06-19T16:10:21.055552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a07bcb3d7faa53ad0e549e90d4128c14243885ad4bddd038d602064055c9771

Aliases

arxiv: 2606.17755 · arxiv_version: 2606.17755v1 · doi: 10.48550/arxiv.2606.17755 · pith_short_12: DID3ZM6X7KST · pith_short_16: DID3ZM6X7KSTVUHF · pith_short_8: DID3ZM6X

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/DID3ZM6X7KSTVUHFJHUQ2QJIYF \
  | 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: 1a07bcb3d7faa53ad0e549e90d4128c14243885ad4bddd038d602064055c9771

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cb8661e2f38795027abed5371d065e09806682816f61c83404bf020d437de7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-16T10:17:49Z",
    "title_canon_sha256": "eaf3477d208446ce6abc62abab349af6979183d68b5621f286130982249450f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17755",
    "kind": "arxiv",
    "version": 1
  }
}