Pith Number

pith:PWEM4A3N

pith:2019:PWEM4A3NZT74ESQFDASKILJT5B

not attested not anchored not stored refs pending

Multiple Stieltjes constants and Laurent type expansion of the multiple zeta functions at integer points

Biswajyoti Saha

arxiv:1902.04389 v1 · 2019-02-12 · 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{PWEM4A3NZT74ESQFDASKILJT5B}

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	2026-05-17T23:54:12.409353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d88ce036dccffc24a051824a42d33e84df47d1524e5e6d519c28a78d68339f2

Aliases

arxiv: 1902.04389 · arxiv_version: 1902.04389v1 · doi: 10.48550/arxiv.1902.04389 · pith_short_12: PWEM4A3NZT74 · pith_short_16: PWEM4A3NZT74ESQF · pith_short_8: PWEM4A3N

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/PWEM4A3NZT74ESQFDASKILJT5B \
  | 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: 7d88ce036dccffc24a051824a42d33e84df47d1524e5e6d519c28a78d68339f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f28ca13ef2a837ce039b5c892fa55b538cbbe473d14caf9d3ac60db9f3d8211f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-02-12T13:56:14Z",
    "title_canon_sha256": "40e25ce97f53a1a1b363a4e943c89dc9fd62978305c185bb51acfb3dd55b25b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04389",
    "kind": "arxiv",
    "version": 1
  }
}