Pith Number

pith:WNUCSJMQ

pith:2017:WNUCSJMQWJ4ZZ7VPZ5VPYKQB2Y

not attested not anchored not stored refs pending

Canonical Bases for Permutohedral Plates

Nick Early

arxiv:1712.08520 v3 · 2017-12-22 · math.CO · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WNUCSJMQWJ4ZZ7VPZ5VPYKQB2Y}

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	2026-05-18T00:24:37.132076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b368292590b2799cfeafcf6afc2a01d60d4634e5682bed7d5f80cdf3acc453ab

Aliases

arxiv: 1712.08520 · arxiv_version: 1712.08520v3 · doi: 10.48550/arxiv.1712.08520 · pith_short_12: WNUCSJMQWJ4Z · pith_short_16: WNUCSJMQWJ4ZZ7VP · pith_short_8: WNUCSJMQ

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/WNUCSJMQWJ4ZZ7VPZ5VPYKQB2Y \
  | 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: b368292590b2799cfeafcf6afc2a01d60d4634e5682bed7d5f80cdf3acc453ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5db67324550cfffc88d4985bd5e92ab6d381e46d4d01d8e996fe04bd9e2394f5",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-22T15:33:27Z",
    "title_canon_sha256": "24d5b4f1a0f181ab7e1bfd166c1c355187778fcdbff5674e277ffa1d1479120b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08520",
    "kind": "arxiv",
    "version": 3
  }
}