Pith Number

pith:PCOUI53T

pith:2015:PCOUI53TX7AIOCZ5WH3I7J34Y4

not attested not anchored not stored refs pending

Algebraic vertices of non-convex polyhedra

Arseniy Akopyan, Imre B\'ar\'any, Sinai Robins

arxiv:1508.07594 v2 · 2015-08-30 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCOUI53TX7AIOCZ5WH3I7J34Y4}

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	2026-05-18T00:53:21.092502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

789d447773bfc0870b3db1f68fa77cc718fd2b8158bfd79015e31d874ab66c75

Aliases

arxiv: 1508.07594 · arxiv_version: 1508.07594v2 · doi: 10.48550/arxiv.1508.07594 · pith_short_12: PCOUI53TX7AI · pith_short_16: PCOUI53TX7AIOCZ5 · pith_short_8: PCOUI53T

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/PCOUI53TX7AIOCZ5WH3I7J34Y4 \
  | 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: 789d447773bfc0870b3db1f68fa77cc718fd2b8158bfd79015e31d874ab66c75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fea41a1b75c90955b1cdd8030b16aa0574455813ceff4ab297f1e50908aa5294",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-08-30T16:17:51Z",
    "title_canon_sha256": "a234b7dcb32cd9e5c086f3a952d04c1642cf564c9b9d60aa2b9df51268a7e090"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07594",
    "kind": "arxiv",
    "version": 2
  }
}