Pith Number

pith:FYTM5AZL

pith:2007:FYTM5AZLP5ZL6HOLTQXJZM5SDP

not attested not anchored not stored refs pending

Cascade of Gregory-Laflamme Transitions and U(1) Breakdown in Super Yang-Mills

Masanori Hanada, Tatsuma Nishioka

arxiv:0706.0188 v3 · 2007-06-01 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FYTM5AZLP5ZL6HOLTQXJZM5SDP}

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	2026-07-04T15:41:53.628831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e26ce832b7f72bf1dcb9c2e9cb3b21be7bc6760a5c718c1279ac60b9da0eb52

Aliases

arxiv: 0706.0188 · arxiv_version: 0706.0188v3 · doi: 10.48550/arxiv.0706.0188 · pith_short_12: FYTM5AZLP5ZL · pith_short_16: FYTM5AZLP5ZL6HOL · pith_short_8: FYTM5AZL

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/FYTM5AZLP5ZL6HOLTQXJZM5SDP \
  | 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: 2e26ce832b7f72bf1dcb9c2e9cb3b21be7bc6760a5c718c1279ac60b9da0eb52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edc07e413512582bec332f9d98f89969d51ccdd7bd83e0c845a9ace8c9c5a4d2",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-06-01T16:52:32Z",
    "title_canon_sha256": "aa8678744a723a7801e412318d92fcbcc13be25596b75820a57c660af48eec97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0188",
    "kind": "arxiv",
    "version": 3
  }
}