Pith Number

pith:67QCLYUV

pith:2016:67QCLYUVBW73VVULZY7WW4UPFV

not attested not anchored not stored refs pending

Simion's type $B$ associahedron is a pulling triangulation of the Legendre polytope

Gabor Hetyei, Margaret Readdy, Richard Ehrenborg

arxiv:1607.06061 v1 · 2016-07-20 · 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{67QCLYUVBW73VVULZY7WW4UPFV}

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	2026-05-18T01:10:43.364839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7e025e2950dbfbad68bce3f6b728f2d7ab6b066a6cf5522c25ea3f59eb40775

Aliases

arxiv: 1607.06061 · arxiv_version: 1607.06061v1 · doi: 10.48550/arxiv.1607.06061 · pith_short_12: 67QCLYUVBW73 · pith_short_16: 67QCLYUVBW73VVUL · pith_short_8: 67QCLYUV

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/67QCLYUVBW73VVULZY7WW4UPFV \
  | 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: f7e025e2950dbfbad68bce3f6b728f2d7ab6b066a6cf5522c25ea3f59eb40775

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5468cf16fac5e15cf4b004f14da46f653c3e1fdd9dff0083fce2f34c23c2ec6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-20T19:06:27Z",
    "title_canon_sha256": "6999bfab641adbb547da7fb80ee4868863d60d01542594c2b5f0ea6c1a050058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06061",
    "kind": "arxiv",
    "version": 1
  }
}