Pith Number

pith:CPUXFPX2

pith:2026:CPUXFPX2B3NGCK7AX6SGMVQ5UX

not attested not anchored not stored refs pending

Closed string trajectories from a new "tiling"

Chrysoula Markou, Thomas Basile

arxiv:2606.04088 v1 · 2026-06-02 · hep-th · hep-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{CPUXFPX2B3NGCK7AX6SGMVQ5UX}

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	2026-06-04T00:06:46.197420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13e972befa0eda612be0bfa466561da5d2c5920a67b187ded7a41345f4e2a43b

Aliases

arxiv: 2606.04088 · arxiv_version: 2606.04088v1 · doi: 10.48550/arxiv.2606.04088 · pith_short_12: CPUXFPX2B3NG · pith_short_16: CPUXFPX2B3NGCK7A · pith_short_8: CPUXFPX2

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/CPUXFPX2B3NGCK7AX6SGMVQ5UX \
  | 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: 13e972befa0eda612be0bfa466561da5d2c5920a67b187ded7a41345f4e2a43b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc16bafe8406c2ba13ca15aa2f9a74f5b281f196f0d274b0d254134a5b73c0bc",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-02T18:00:02Z",
    "title_canon_sha256": "e9b403da7ed39acc2139227d7feb98bdf6f7b85f87b0001ce7ab7c5dd51f6787"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04088",
    "kind": "arxiv",
    "version": 1
  }
}