Pith Number

pith:WIII6TFD

pith:2026:WIII6TFDJ7NWBYFEA2UQH7J3KM

not attested not anchored not stored refs pending

Gravitational index, black hole saddle degeneracy, and one-form symmetry

Davide Cassani, Gianmarco Esposto

arxiv:2606.02707 v1 · 2026-06-01 · 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{WIII6TFDJ7NWBYFEA2UQH7J3KM}

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	2026-06-03T00:05:07.490161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2108f4ca34fdb60e0a406a903fd3b53078503c16b8044ef8042e756e8fa4bf1

Aliases

arxiv: 2606.02707 · arxiv_version: 2606.02707v1 · doi: 10.48550/arxiv.2606.02707 · pith_short_12: WIII6TFDJ7NW · pith_short_16: WIII6TFDJ7NWBYFE · pith_short_8: WIII6TFD

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/WIII6TFDJ7NWBYFEA2UQH7J3KM \
  | 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: b2108f4ca34fdb60e0a406a903fd3b53078503c16b8044ef8042e756e8fa4bf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71dbcc05ee14f858d401c32fca5d8cca81795048e63a1501e17583a5d8b31326",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-01T18:00:02Z",
    "title_canon_sha256": "5128578646fc324a58efe5b962f4b3dbe661ef5707268af058f7e6dff08cddc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02707",
    "kind": "arxiv",
    "version": 1
  }
}