Pith Number

pith:T34WKPU4

pith:2015:T34WKPU4VEMCKB34CK3QOCGSPK

not attested not anchored not stored refs pending

Non-uniform black strings and the critical dimension in the $1/D$ expansion

Kentaro Tanabe, Ryotaku Suzuki

arxiv:1506.01890 v2 · 2015-06-05 · 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{T34WKPU4VEMCKB34CK3QOCGSPK}

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	2026-05-18T01:18:44.735115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ef9653e9ca91825077c12b70708d27a98f3ac59c9519768733e54b9134b8bd3

Aliases

arxiv: 1506.01890 · arxiv_version: 1506.01890v2 · doi: 10.48550/arxiv.1506.01890 · pith_short_12: T34WKPU4VEMC · pith_short_16: T34WKPU4VEMCKB34 · pith_short_8: T34WKPU4

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/T34WKPU4VEMCKB34CK3QOCGSPK \
  | 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: 9ef9653e9ca91825077c12b70708d27a98f3ac59c9519768733e54b9134b8bd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4dbd29eae083ac0bb2ffbd4b39a15c5e2b61cbe2fe9287dd6cf8da2ff9b970d",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-06-05T12:54:30Z",
    "title_canon_sha256": "f6e66799bc5d901e9a7c54d7c68f16bf997186dea44c6af3b7a7859cbe5de5fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01890",
    "kind": "arxiv",
    "version": 2
  }
}