Pith Number

pith:PGXSEQWE

pith:2009:PGXSEQWE4LXHHR7Z6QJ4QJZAY4

not attested not anchored not stored refs pending

On the transcendence of some infinite sums

Juan Li, Pingzhi Yuan

arxiv:0909.2387 v1 · 2009-09-13 · 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{PGXSEQWE4LXHHR7Z6QJ4QJZAY4}

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	2026-05-18T02:58:02.792146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79af2242c4e2ee73c7f9f413c82720c717a84693d8e7d615a9f9c00f67bc493c

Aliases

arxiv: 0909.2387 · arxiv_version: 0909.2387v1 · doi: 10.48550/arxiv.0909.2387 · pith_short_12: PGXSEQWE4LXH · pith_short_16: PGXSEQWE4LXHHR7Z · pith_short_8: PGXSEQWE

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/PGXSEQWE4LXHHR7Z6QJ4QJZAY4 \
  | 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: 79af2242c4e2ee73c7f9f413c82720c717a84693d8e7d615a9f9c00f67bc493c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85ae7f930ab7b2e25123deb08d14fb85041f6f44ecb61988992e69fc58af05da",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-09-13T02:33:27Z",
    "title_canon_sha256": "5bead8a7047d301b8c94cbb13b91ba591905f078aa116d4480f84c26b3565fad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2387",
    "kind": "arxiv",
    "version": 1
  }
}