Pith Number

pith:OFA4JWAE

pith:2012:OFA4JWAEUDWOSTGZT4XZXWWLAC

not attested not anchored not stored refs pending

Rank-3 root systems induce root systems of rank 4 via a new Clifford spinor construction

Pierre-Philippe Dechant

arxiv:1207.7339 v2 · 2012-07-31 · math-ph · hep-th · 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{OFA4JWAEUDWOSTGZT4XZXWWLAC}

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	2026-05-18T01:20:22.506747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7141c4d804a0ece94cd99f2f9bdacb00849c267e42372ae826fc70a5aafce2c8

Aliases

arxiv: 1207.7339 · arxiv_version: 1207.7339v2 · doi: 10.48550/arxiv.1207.7339 · pith_short_12: OFA4JWAEUDWO · pith_short_16: OFA4JWAEUDWOSTGZ · pith_short_8: OFA4JWAE

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/OFA4JWAEUDWOSTGZT4XZXWWLAC \
  | 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: 7141c4d804a0ece94cd99f2f9bdacb00849c267e42372ae826fc70a5aafce2c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a38c4ed18cc37ae6c39c57812b8332bdc43c352eba0b473d59ae3edfb627db6",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-31T18:37:08Z",
    "title_canon_sha256": "7c105a22c7735e7a1950a782e4dd0be033f0acc2786f0e368b6c00ad5f4150a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7339",
    "kind": "arxiv",
    "version": 2
  }
}