Pith Number

pith:PBJBSSNA

pith:2010:PBJBSSNA5GDHUZFB3DU73P3BQI

not attested not anchored not stored refs pending

Kaluza-Klein towers for real vector fields in flat space

Fernand Grard, Jean Nuyts

arxiv:1002.2889 v1 · 2010-02-15 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBJBSSNA5GDHUZFB3DU73P3BQI}

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	2026-05-18T02:09:08.225578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78521949a0e9867a64a1d8e9fdbf618230b871efc4340baefae31d71d2d052f2

Aliases

arxiv: 1002.2889 · arxiv_version: 1002.2889v1 · doi: 10.48550/arxiv.1002.2889 · pith_short_12: PBJBSSNA5GDH · pith_short_16: PBJBSSNA5GDHUZFB · pith_short_8: PBJBSSNA

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/PBJBSSNA5GDHUZFB3DU73P3BQI \
  | 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: 78521949a0e9867a64a1d8e9fdbf618230b871efc4340baefae31d71d2d052f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c61ad749543c4e574dfbff8b82b2ab544b6c7b38ac27694e900cb8096df8675",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-02-15T15:11:43Z",
    "title_canon_sha256": "17ed192df36ea50e29f0c7285bc3a71a2c5e1c131e317bbf295f8061187fe901"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2889",
    "kind": "arxiv",
    "version": 1
  }
}