Pith Number

pith:HKJ6UORM

pith:2012:HKJ6UORMR5T5LAP257MT2NN4ME

not attested not anchored not stored refs pending

gamma-vectors of edge subdivisions of the boundary of the cross polytope

Natalie Aisbett

arxiv:1209.1789 v1 · 2012-09-09 · 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{HKJ6UORMR5T5LAP257MT2NN4ME}

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.

Cited by

1 paper in Pith

Induced equators in flag spheres

Receipt and verification

First computed	2026-05-18T03:45:54.374463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a93ea3a2c8f67d581faefd93d35bc613f29d332afc9ed475da9d68c62cd3a78

Aliases

arxiv: 1209.1789 · arxiv_version: 1209.1789v1 · doi: 10.48550/arxiv.1209.1789 · pith_short_12: HKJ6UORMR5T5 · pith_short_16: HKJ6UORMR5T5LAP2 · pith_short_8: HKJ6UORM

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/HKJ6UORMR5T5LAP257MT2NN4ME \
  | 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: 3a93ea3a2c8f67d581faefd93d35bc613f29d332afc9ed475da9d68c62cd3a78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db3a2a645af199ed368dbf1c953cbced05a8c98470fcb42254308932b63bb219",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-09T10:53:14Z",
    "title_canon_sha256": "4f2654524104aebc0bcebcdaa9b485b0d06674de2ab70d08c39a7f881114a9d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1789",
    "kind": "arxiv",
    "version": 1
  }
}