Pith Number

pith:KPVJOXJX

pith:2026:KPVJOXJXS6X3KWIYIHWNYVF6TH

not attested not anchored not stored refs pending

Near Isospectrality and Spectral Rigidity for Compact Locally Symmetric Manifolds

Punya Plaban Satpathy, Sudhir Pujahari

arxiv:2606.09320 v1 · 2026-06-08 · math.SP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KPVJOXJXS6X3KWIYIHWNYVF6TH}

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	2026-06-09T02:08:14.799936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53ea975d3797afb5591841ecdc54be99fd7815d4eb6b646fd074caab7bed10dc

Aliases

arxiv: 2606.09320 · arxiv_version: 2606.09320v1 · doi: 10.48550/arxiv.2606.09320 · pith_short_12: KPVJOXJXS6X3 · pith_short_16: KPVJOXJXS6X3KWIY · pith_short_8: KPVJOXJX

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/KPVJOXJXS6X3KWIYIHWNYVF6TH \
  | 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: 53ea975d3797afb5591841ecdc54be99fd7815d4eb6b646fd074caab7bed10dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6719ad826c9aeaf700158ae1cff3bb22d1a18bb853f786573fe51d4dcf49fe6",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2026-06-08T10:30:55Z",
    "title_canon_sha256": "e1616e885760c2cdc1d4542a91dad2ff00c25cf81b51b095d7f6cb84a6eb5180"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09320",
    "kind": "arxiv",
    "version": 1
  }
}