Pith Number

pith:QNV5KP2F

pith:2014:QNV5KP2FZFWGITZMDPQPA2P6WU

not attested not anchored not stored refs pending

Computing mixed volume and all mixed cells in quermassintegral time

Gregorio Malajovich

arxiv:1412.0480 v6 · 2014-12-01 · math.NA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QNV5KP2FZFWGITZMDPQPA2P6WU}

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	2026-05-18T00:31:29.180549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

836bd53f45c96c644f2c1be0f069feb517f93fd45b8c8211a92e3589db01f50d

Aliases

arxiv: 1412.0480 · arxiv_version: 1412.0480v6 · doi: 10.48550/arxiv.1412.0480 · pith_short_12: QNV5KP2FZFWG · pith_short_16: QNV5KP2FZFWGITZM · pith_short_8: QNV5KP2F

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/QNV5KP2FZFWGITZMDPQPA2P6WU \
  | 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: 836bd53f45c96c644f2c1be0f069feb517f93fd45b8c8211a92e3589db01f50d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e209caabe50432e18b2fcaef5669406931ff04588f3c10b6d8a01dfc6019ec29",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-12-01T13:52:33Z",
    "title_canon_sha256": "eab664e87e4674a4bd1c3d82a5f6e6d26ced379b8954ae386923a1b1d36a2034"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0480",
    "kind": "arxiv",
    "version": 6
  }
}