Pith Number

pith:NLJEZ2XL

pith:2008:NLJEZ2XLUXC37XMXKAKJW4MS44

not attested not anchored not stored refs pending

Alternating Euler sums at the negative integers

H. Gopalkrishna Gadiyar, Khristo N. Boyadzhiev, R. Padma

arxiv:0811.4437 v1 · 2008-11-26 · 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{NLJEZ2XLUXC37XMXKAKJW4MS44}

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	2026-05-18T01:02:59.748628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ad24ceaeba5c5bfdd9750149b7192e720ff80d2bc9bf07e3494727ca3220dca

Aliases

arxiv: 0811.4437 · arxiv_version: 0811.4437v1 · doi: 10.48550/arxiv.0811.4437 · pith_short_12: NLJEZ2XLUXC3 · pith_short_16: NLJEZ2XLUXC37XMX · pith_short_8: NLJEZ2XL

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/NLJEZ2XLUXC37XMXKAKJW4MS44 \
  | 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: 6ad24ceaeba5c5bfdd9750149b7192e720ff80d2bc9bf07e3494727ca3220dca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4665f36e0cee3c18a181857e4672265ab120fa95df1fa82500cd7b8d54118e5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-11-26T21:46:04Z",
    "title_canon_sha256": "a829241f03b8e8c76eb13c01c2a3589d1a90b74710b7f4ece361387f8d437763"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.4437",
    "kind": "arxiv",
    "version": 1
  }
}