Pith Number

pith:UHOZEFLD

pith:2013:UHOZEFLDTKQWR4NBW246BBZUL3

not attested not anchored not stored refs pending

A Family of Multiple Harmonic Sum and Multiple Zeta Star Value Identities

Erin Linebarger, Jianqiang Zhao

arxiv:1304.3927 v5 · 2013-04-14 · 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{UHOZEFLDTKQWR4NBW246BBZUL3}

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	2026-05-17T23:53:17.652395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1dd9215639aa168f1a1b6b9e087345ed20fcf30f9b153eaa50c5b0afa18d0e6

Aliases

arxiv: 1304.3927 · arxiv_version: 1304.3927v5 · doi: 10.48550/arxiv.1304.3927 · pith_short_12: UHOZEFLDTKQW · pith_short_16: UHOZEFLDTKQWR4NB · pith_short_8: UHOZEFLD

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/UHOZEFLDTKQWR4NBW246BBZUL3 \
  | 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: a1dd9215639aa168f1a1b6b9e087345ed20fcf30f9b153eaa50c5b0afa18d0e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e5e4bc9f224491de3f01b8be4bdf1eef05eb045fec808ce9a417494b13638cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-14T17:12:05Z",
    "title_canon_sha256": "48d5cde8d0edbd951c8e4b5f54e67d7d05af0cb5183f7c405abfe65b95ca6f88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3927",
    "kind": "arxiv",
    "version": 5
  }
}