Pith Number

pith:PISF4QHH

pith:2008:PISF4QHH346NJXX2LDCMVMPETK

not attested not anchored not stored refs pending

On exponentials of exponential generating series

Roland Bacher (IF)

arxiv:0807.0540 v4 · 2008-07-03 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PISF4QHH346NJXX2LDCMVMPETK}

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	2026-05-17T23:48:12.315650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a245e40e7df3cd4defa58c4cab1e49a9a9487284effac5a6e2ff641b62dd36d

Aliases

arxiv: 0807.0540 · arxiv_version: 0807.0540v4 · doi: 10.48550/arxiv.0807.0540 · pith_short_12: PISF4QHH346N · pith_short_16: PISF4QHH346NJXX2 · pith_short_8: PISF4QHH

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/PISF4QHH346NJXX2LDCMVMPETK \
  | 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: 7a245e40e7df3cd4defa58c4cab1e49a9a9487284effac5a6e2ff641b62dd36d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4ee5f54c24905eb9d07063b91f168c8f956f767f60b1283756afaf7f9e5ed1e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-07-03T11:51:25Z",
    "title_canon_sha256": "668fe8872b6a666a5b02e0f890ccf79e2f94e29924516c39fcfe13d5bf7ffa4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.0540",
    "kind": "arxiv",
    "version": 4
  }
}