Pith Number

pith:B3INNQY7

pith:2011:B3INNQY7XHTZZUDFCYMP4MS45W

not attested not anchored not stored refs pending

Comparison of Exponential-Logarithmic and Logarithmic-Exponential series

Marcus Tressl, Salma Kuhlmann

arxiv:1112.4189 v1 · 2011-12-18 · math.LO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B3INNQY7XHTZZUDFCYMP4MS45W}

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	2026-05-18T03:37:41.566430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ed0d6c31fb9e79cd0651618fe325ced81b1019a396e558269f78f51e4095542

Aliases

arxiv: 1112.4189 · arxiv_version: 1112.4189v1 · doi: 10.48550/arxiv.1112.4189 · pith_short_12: B3INNQY7XHTZ · pith_short_16: B3INNQY7XHTZZUDF · pith_short_8: B3INNQY7

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/B3INNQY7XHTZZUDFCYMP4MS45W \
  | 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: 0ed0d6c31fb9e79cd0651618fe325ced81b1019a396e558269f78f51e4095542

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "321d4671338896e6d1ea19b3845bdf697c862a86611776860e5e5d8793a96012",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-12-18T21:05:45Z",
    "title_canon_sha256": "bc8f90bdf43e092e593cdc91558d35cb52b394f79ead7956d06060a5faf5ed98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4189",
    "kind": "arxiv",
    "version": 1
  }
}