Pith Number

pith:P3NICR52

pith:2001:P3NICR52V72PHU3WBVQFZVEKNA

not attested not anchored not stored refs pending

On correspondence between tensors and bispinors

A.V. Pushkin, M.V. Gorbatenko

arxiv:math-ph/0112048 v1 · 2001-12-20 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3NICR52V72PHU3WBVQFZVEKNA}

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	2026-05-18T00:37:27.769775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eda8147baaff4f3d3760d605cd48a682df59ac90d9ba4abb0d8018f9f095308

Aliases

arxiv: math-ph/0112048 · arxiv_version: math-ph/0112048v1 · doi: 10.48550/arxiv.math-ph/0112048 · pith_short_12: P3NICR52V72P · pith_short_16: P3NICR52V72PHU3W · pith_short_8: P3NICR52

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/P3NICR52V72PHU3WBVQFZVEKNA \
  | 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: 7eda8147baaff4f3d3760d605cd48a682df59ac90d9ba4abb0d8018f9f095308

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b0599c9f9b4598243f9aba54ba6543ba669f4206c0989193a844b88812d6cd2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-12-20T17:01:48Z",
    "title_canon_sha256": "3a511a4253f12c5916e566404d19dd23cb8411c1166ab7ca4459038105e8773d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0112048",
    "kind": "arxiv",
    "version": 1
  }
}