Pith Number

pith:HP4HMSEY

pith:2018:HP4HMSEYAAUSGA55FXTVM6CK4J

not attested not anchored not stored refs pending

Values at non-positive integers of partially twisted multiple zeta-functions I

Driss Essouabri, Kohji Matsumoto

arxiv:1812.04494 v1 · 2018-12-10 · 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{HP4HMSEYAAUSGA55FXTVM6CK4J}

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	2026-05-17T23:58:31.868166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bf876489800292303bd2de756784ae27576755b66660f075ed3f5df664ebf7b

Aliases

arxiv: 1812.04494 · arxiv_version: 1812.04494v1 · doi: 10.48550/arxiv.1812.04494 · pith_short_12: HP4HMSEYAAUS · pith_short_16: HP4HMSEYAAUSGA55 · pith_short_8: HP4HMSEY

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/HP4HMSEYAAUSGA55FXTVM6CK4J \
  | 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: 3bf876489800292303bd2de756784ae27576755b66660f075ed3f5df664ebf7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25df7a5d052383804dc8a234aa88d5a827415bf8a7a083d87352445b535b508e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-10T02:40:47Z",
    "title_canon_sha256": "df72eebab9dc0ef52455ea013a6763d95d19048b35f473ba5a51118729bbfbcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04494",
    "kind": "arxiv",
    "version": 1
  }
}