Pith Number

pith:JDKEIVC6

pith:2013:JDKEIVC6WQQ4EYH43C2LRE7UPW

not attested not anchored not stored refs pending

The spinor representation formula in 3 and 4 dimensions

Julien Roth (LAMA), Pascal Romon (LAMA)

arxiv:1309.0457 v1 · 2013-09-02 · 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{JDKEIVC6WQQ4EYH43C2LRE7UPW}

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	2026-05-18T00:50:23.689134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48d444545eb421c260fcd8b4b893f47da1323a25c9ee55ac36967228f8b552b0

Aliases

arxiv: 1309.0457 · arxiv_version: 1309.0457v1 · doi: 10.48550/arxiv.1309.0457 · pith_short_12: JDKEIVC6WQQ4 · pith_short_16: JDKEIVC6WQQ4EYH4 · pith_short_8: JDKEIVC6

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/JDKEIVC6WQQ4EYH43C2LRE7UPW \
  | 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: 48d444545eb421c260fcd8b4b893f47da1323a25c9ee55ac36967228f8b552b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1453fef9fbe3e1d4fb159b843b85e318f366ff79fc36cea6bce6137088c6d4a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-09-02T16:27:45Z",
    "title_canon_sha256": "ee4e0d2d74c901728e1ed225c8537f7e2fba5d097df1b970e3ecb521699a495e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0457",
    "kind": "arxiv",
    "version": 1
  }
}