Pith Number

pith:ZMZX4FPR

pith:2013:ZMZX4FPRL62IU42MBSEHQEAXLK

not attested not anchored not stored refs pending

From the Berkovits formulation to the Witten formulation in open superstring field theory

Shingo Torii, Toshifumi Noumi, Yuji Okawa, Yuki Iimori

arxiv:1312.1677 v2 · 2013-12-05 · hep-th · math.AT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMZX4FPRL62IU42MBSEHQEAXLK}

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	2026-05-18T02:55:27.351028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb337e15f15fb48a734c0c887810175a815b1e1104c2359da21cdef3f5b56f61

Aliases

arxiv: 1312.1677 · arxiv_version: 1312.1677v2 · doi: 10.48550/arxiv.1312.1677 · pith_short_12: ZMZX4FPRL62I · pith_short_16: ZMZX4FPRL62IU42M · pith_short_8: ZMZX4FPR

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/ZMZX4FPRL62IU42MBSEHQEAXLK \
  | 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: cb337e15f15fb48a734c0c887810175a815b1e1104c2359da21cdef3f5b56f61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8346ceb521b74f9ca415006cefdb802acb67504d79c2894572d99d6a3ae867bd",
    "cross_cats_sorted": [
      "math.AT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-12-05T20:52:38Z",
    "title_canon_sha256": "be5201a4b7a0b6a44fb792532265aa87d1b485862b2f3675739a96991b9e824a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1677",
    "kind": "arxiv",
    "version": 2
  }
}