Pith Number

pith:HCBDNNIT

pith:1999:HCBDNNITRDODYXAZQEZETUVSVK

not attested not anchored not stored refs pending

Distributional Borel Summability of Odd Anharmonic Oscillators

Emanuela Caliceti

arxiv:math-ph/9910001 v1 · 1999-10-01 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HCBDNNITRDODYXAZQEZETUVSVK}

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	2026-05-18T01:38:30.479274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

388236b51388dc3c5c19813249d2b2aab0ecc130960bd32feed14039c55be4a8

Aliases

arxiv: math-ph/9910001 · arxiv_version: math-ph/9910001v1 · doi: 10.48550/arxiv.math-ph/9910001 · pith_short_12: HCBDNNITRDOD · pith_short_16: HCBDNNITRDODYXAZ · pith_short_8: HCBDNNIT

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/HCBDNNITRDODYXAZQEZETUVSVK \
  | 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: 388236b51388dc3c5c19813249d2b2aab0ecc130960bd32feed14039c55be4a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "896dd2e5c716e5bbf539bf42f548fceb7414f43bc737c3c9603e64858f4ca4e7",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1999-10-01T09:29:27Z",
    "title_canon_sha256": "4ac50f10cad6993a2a0cadc7ee47bcfb0b759c4f8110dc3c9feb3067f3d56724"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9910001",
    "kind": "arxiv",
    "version": 1
  }
}