Pith Number

pith:JV4673XV

pith:2012:JV4673XVLBBEKVFKA3FM22FMRP

not attested not anchored not stored refs pending

Some acyclic systems of permutations are not realizable by triangulations of a product of simplices

Francisco Santos

arxiv:1201.0529 v2 · 2012-01-02 · 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{JV4673XVLBBEKVFKA3FM22FMRP}

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	2026-05-18T03:18:17.190740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d79efeef558424554aa06cacd68ac8be44a1ae010c450054907f1ab7f041520

Aliases

arxiv: 1201.0529 · arxiv_version: 1201.0529v2 · doi: 10.48550/arxiv.1201.0529 · pith_short_12: JV4673XVLBBE · pith_short_16: JV4673XVLBBEKVFK · pith_short_8: JV4673XV

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/JV4673XVLBBEKVFKA3FM22FMRP \
  | 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: 4d79efeef558424554aa06cacd68ac8be44a1ae010c450054907f1ab7f041520

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7128e86a3b3b977e425b0f95f74dd6fe042f0d04e48dfad0ab167e6e5c0037c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-02T20:16:14Z",
    "title_canon_sha256": "4bf406c90e5c16a7e21a381fe0dd2eb957f3a974ca9e697e9414fef0c2a08912"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0529",
    "kind": "arxiv",
    "version": 2
  }
}