Pith Number

pith:JWLIPD2E

pith:2026:JWLIPD2EAQVCGKE2HLEKURKBAQ

not attested not anchored not stored refs pending

Resonances and string point invertibility for compact rank one symmetric spaces

Alexandru Oancea, Egor Shelukhin, Kai Cieliebak

arxiv:2608.04691 v1 · 2026-08-05 · math.SG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWLIPD2EAQVCGKE2HLEKURKBAQ}

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	2026-08-06T01:46:30.741093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d96878f44042a23289a3ac8aa4541041257bcaa61689725c9685ca895f4db64

Aliases

arxiv: 2608.04691 · arxiv_version: 2608.04691v1 · doi: 10.48550/arxiv.2608.04691 · pith_short_12: JWLIPD2EAQVC · pith_short_16: JWLIPD2EAQVCGKE2 · pith_short_8: JWLIPD2E

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/JWLIPD2EAQVCGKE2HLEKURKBAQ \
  | 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: 4d96878f44042a23289a3ac8aa4541041257bcaa61689725c9685ca895f4db64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5470a6a75646034e4a80df326a68a07a7fe4f928afca58d541bdfe176113e091",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2026-08-05T10:59:34Z",
    "title_canon_sha256": "94181a20346bde13e065ccd40b0cda2305bc395e66246ddd81110ef61c8a6824"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04691",
    "kind": "arxiv",
    "version": 1
  }
}