Pith Number

pith:TY4CT7OJ

pith:2018:TY4CT7OJNEY756MJW2OVMNN4BA

not attested not anchored not stored refs pending

Mehler-Heine formula: a generalization in the context of spherical functions

In\'es Pacharoni, Roc\'io D\'iaz Mart\'in

arxiv:1807.03904 v1 · 2018-07-10 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TY4CT7OJNEY756MJW2OVMNN4BA}

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	2026-05-18T00:10:58.740031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e3829fdc96931fef989b69d5635bc0837aa8372e8ca73dc4c980e4779badab3

Aliases

arxiv: 1807.03904 · arxiv_version: 1807.03904v1 · doi: 10.48550/arxiv.1807.03904 · pith_short_12: TY4CT7OJNEY7 · pith_short_16: TY4CT7OJNEY756MJ · pith_short_8: TY4CT7OJ

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/TY4CT7OJNEY756MJW2OVMNN4BA \
  | 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: 9e3829fdc96931fef989b69d5635bc0837aa8372e8ca73dc4c980e4779badab3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bff57ad47457bca856cb0d251b643b7fcea26c8e20dcc67a631931746c765fc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-07-10T23:51:35Z",
    "title_canon_sha256": "e956d9b09a17416c2590074b92375714bc2e420c2c771acdc51b49d94b503370"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03904",
    "kind": "arxiv",
    "version": 1
  }
}