Pith Number

pith:ARMEOQVB

pith:2019:ARMEOQVBTRTX5KBZKJNZBWGX7U

not attested not anchored not stored refs pending

Multivariate polynomials for generalized permutohedra

Eric Katz, McCabe Olsen

arxiv:1906.05848 v1 · 2019-06-13 · 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{ARMEOQVBTRTX5KBZKJNZBWGX7U}

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	2026-05-17T23:43:24.269738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04584742a19c677ea839525b90d8d7fd2cff90b41769872360500313d5899265

Aliases

arxiv: 1906.05848 · arxiv_version: 1906.05848v1 · doi: 10.48550/arxiv.1906.05848 · pith_short_12: ARMEOQVBTRTX · pith_short_16: ARMEOQVBTRTX5KBZ · pith_short_8: ARMEOQVB

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/ARMEOQVBTRTX5KBZKJNZBWGX7U \
  | 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: 04584742a19c677ea839525b90d8d7fd2cff90b41769872360500313d5899265

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18e7b68e89e62833b56e3d82b04497690d41bbac6577cf77dadda70b9a33b52f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-13T17:48:38Z",
    "title_canon_sha256": "f496835a86ea324869f503f407ad96df930952c9daf6af7a8cdd1d1c5e02f4d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.05848",
    "kind": "arxiv",
    "version": 1
  }
}