Pith Number

pith:OIUD6WVD

pith:2013:OIUD6WVDDPL5SXVAUC3WQNZTYD

not attested not anchored not stored refs pending

On the polyhedral cones of convex and concave vectors

Laszlo Major, Stephan Foldes

arxiv:1312.0561 v1 · 2013-12-02 · math.CO · 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{OIUD6WVDDPL5SXVAUC3WQNZTYD}

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	2026-05-18T03:05:35.235145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72283f5aa31bd7d95ea0a0b7683733c0c5657f0e51cde3f0de4c0c081404c995

Aliases

arxiv: 1312.0561 · arxiv_version: 1312.0561v1 · doi: 10.48550/arxiv.1312.0561 · pith_short_12: OIUD6WVDDPL5 · pith_short_16: OIUD6WVDDPL5SXVA · pith_short_8: OIUD6WVD

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/OIUD6WVDDPL5SXVAUC3WQNZTYD \
  | 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: 72283f5aa31bd7d95ea0a0b7683733c0c5657f0e51cde3f0de4c0c081404c995

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21d1164e58061a4782401dffd8971de5bcb957404da870229b1810eeaf66e55a",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-02T19:37:21Z",
    "title_canon_sha256": "25d1989bb56c130ac933aea3f1a8a2f7072369bbc9123ec082eccea2067f27be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0561",
    "kind": "arxiv",
    "version": 1
  }
}