Pith Number

pith:53TLIK3O

pith:2026:53TLIK3OR7NBK27LNU56R4S4PL

not attested not anchored not stored refs pending

Ehrhart $h^*$-distributions

Andr\'es R. Vindas-Mel\'endez, Benjamin Braun, Cesar J. Meza, Max Hlavacek, Santiago Morales

arxiv:2607.15886 v1 · 2026-07-17 · 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{53TLIK3OR7NBK27LNU56R4S4PL}

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	2026-07-20T01:19:15.370932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eee6b42b6e8fda156beb6d3be8f25c7ae3cf77bb4ff418eb02b9b31b435ece98

Aliases

arxiv: 2607.15886 · arxiv_version: 2607.15886v1 · doi: 10.48550/arxiv.2607.15886 · pith_short_12: 53TLIK3OR7NB · pith_short_16: 53TLIK3OR7NBK27L · pith_short_8: 53TLIK3O

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/53TLIK3OR7NBK27LNU56R4S4PL \
  | 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: eee6b42b6e8fda156beb6d3be8f25c7ae3cf77bb4ff418eb02b9b31b435ece98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2be939141d5b332372aa4608d3365d5474e4da3c1dae023d42300332fe644e97",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-17T12:02:32Z",
    "title_canon_sha256": "4bfcd6a9d34ab425509938d959d10b6c6df0eb63d65c5b481f0f107d7cc988b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15886",
    "kind": "arxiv",
    "version": 1
  }
}