Pith Number

pith:R7YMFDG6

pith:2011:R7YMFDG62LEJBTDVLJBK5QPYHI

not attested not anchored not stored refs pending

Dirac equation for membranes

Maciej Trzetrzelewski

arxiv:1103.1964 v2 · 2011-03-10 · hep-th · hep-ph · 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{R7YMFDG62LEJBTDVLJBK5QPYHI}

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	2026-05-18T04:09:53.640958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ff0c28cded2c890cc755a42aec1f83a3a927f1477bcb5e33373e9c887d184b0

Aliases

arxiv: 1103.1964 · arxiv_version: 1103.1964v2 · doi: 10.48550/arxiv.1103.1964 · pith_short_12: R7YMFDG62LEJ · pith_short_16: R7YMFDG62LEJBTDV · pith_short_8: R7YMFDG6

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/R7YMFDG62LEJBTDVLJBK5QPYHI \
  | 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: 8ff0c28cded2c890cc755a42aec1f83a3a927f1477bcb5e33373e9c887d184b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90dd753052a9685c48b564484529d1446309e9d5fa1e3f03a82fa478631fccdb",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-03-10T08:51:37Z",
    "title_canon_sha256": "1386eda1a46880c41e0ae0eccf0f4a55a6967990c174333f294d5f1c7170c32d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1964",
    "kind": "arxiv",
    "version": 2
  }
}