Pith Number

pith:V52NYI7A

pith:2014:V52NYI7ASCQHU4KJ6MO5VIO2QG

not attested not anchored not stored refs pending

The dual Jacobian of a generalised tetrahedron, and volumes of prisms

Alexander Kolpakov, Jun Murakami

arxiv:1409.3355 v5 · 2014-09-11 · math.MG · math.CV · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V52NYI7ASCQHU4KJ6MO5VIO2QG}

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	2026-05-18T01:13:00.426210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af74dc23e090a07a7149f31ddaa1da81806ccae5e794fd316274ef4faeaf7b0b

Aliases

arxiv: 1409.3355 · arxiv_version: 1409.3355v5 · doi: 10.48550/arxiv.1409.3355 · pith_short_12: V52NYI7ASCQH · pith_short_16: V52NYI7ASCQHU4KJ · pith_short_8: V52NYI7A

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/V52NYI7ASCQHU4KJ6MO5VIO2QG \
  | 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: af74dc23e090a07a7149f31ddaa1da81806ccae5e794fd316274ef4faeaf7b0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d19fe7bee71e4413d8a4efe6e822aad0ce4541d980bc36f9aa5f2767c5930846",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-09-11T08:41:41Z",
    "title_canon_sha256": "8018b2d4917dc8f2138b2c25e9ff08333929fe831abfd7be9e0440b87957f18d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3355",
    "kind": "arxiv",
    "version": 5
  }
}