Pith Number

pith:4JBTUGSV

pith:2017:4JBTUGSVLRDUQDFJHVVVXMOM56

not attested not anchored not stored refs pending

On Louchard's Asymptotic Series

Michael E. Hoffman

arxiv:1710.03528 v2 · 2017-10-10 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JBTUGSVLRDUQDFJHVVVXMOM56}

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	2026-05-18T00:31:39.603007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2433a1a555c47480ca93d6b5bb1ccefaf904587d49e8a9fb9c66e5517604ab5

Aliases

arxiv: 1710.03528 · arxiv_version: 1710.03528v2 · doi: 10.48550/arxiv.1710.03528 · pith_short_12: 4JBTUGSVLRDU · pith_short_16: 4JBTUGSVLRDUQDFJ · pith_short_8: 4JBTUGSV

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/4JBTUGSVLRDUQDFJHVVVXMOM56 \
  | 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: e2433a1a555c47480ca93d6b5bb1ccefaf904587d49e8a9fb9c66e5517604ab5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4447b0ec85db016f318b2120360698ee418ae7bffc639382f640ea9ed37a769",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-10T12:15:31Z",
    "title_canon_sha256": "106033df46f608a6dbec5e8ff528d69194d536b9e32daa0459952652f6158a87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03528",
    "kind": "arxiv",
    "version": 2
  }
}