Pith Number

pith:KEGRFJ75

pith:2010:KEGRFJ75VNRTM5L7DPJDUY6ED2

not attested not anchored not stored refs pending

Internal Space-time Symmetries of Particles derivable from Periodic Systems in Optics

Y.S.Kim

arxiv:1009.5102 v1 · 2010-09-26 · math-ph · hep-th · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KEGRFJ75VNRTM5L7DPJDUY6ED2}

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	2026-05-18T02:05:17.165510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

510d12a7fdab6336757f1bd23a63c41e8a84c4b2acdeed428fb0ad1a01743e0d

Aliases

arxiv: 1009.5102 · arxiv_version: 1009.5102v1 · doi: 10.48550/arxiv.1009.5102 · pith_short_12: KEGRFJ75VNRT · pith_short_16: KEGRFJ75VNRTM5L7 · pith_short_8: KEGRFJ75

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/KEGRFJ75VNRTM5L7DPJDUY6ED2 \
  | 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: 510d12a7fdab6336757f1bd23a63c41e8a84c4b2acdeed428fb0ad1a01743e0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5215868f5033f519d86fb04ecafc1230eb140d291928b48c8ad6d777f33feb0",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-09-26T15:37:14Z",
    "title_canon_sha256": "886326f3d9b9ce32c8a487891c755e0b2b406b15d7a3dfcd60afa4e543b916dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5102",
    "kind": "arxiv",
    "version": 1
  }
}