Pith Number

pith:A2ZAAQGH

pith:2025:A2ZAAQGHB25IHA7VU24V4CRL32

not attested not anchored not stored refs pending

Eigenfunction asymptotics in the complex domain for a compact Lie group

Roberto Paoletti, Simone Gallivanone

arxiv:2507.18285 v2 · 2025-07-24 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A2ZAAQGHB25IHA7VU24V4CRL32}

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	2026-07-05T12:00:06.835278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06b20040c70eba8383f5a6b95e0a2bde91674f77116b99e4adbb4f3fd5f89ef2

Aliases

arxiv: 2507.18285 · arxiv_version: 2507.18285v2 · doi: 10.48550/arxiv.2507.18285 · pith_short_12: A2ZAAQGHB25I · pith_short_16: A2ZAAQGHB25IHA7V · pith_short_8: A2ZAAQGH

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/A2ZAAQGHB25IHA7VU24V4CRL32 \
  | 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: 06b20040c70eba8383f5a6b95e0a2bde91674f77116b99e4adbb4f3fd5f89ef2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61fb33ce184683aca2254387ac2f9007372a3717477d59748affdbada19d23dc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-07-24T10:39:52Z",
    "title_canon_sha256": "d0f955ab005ec68dfa3d4828730490cff8b998200e7c0efc0259c6e4bbcb6b8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.18285",
    "kind": "arxiv",
    "version": 2
  }
}