Pith Number

pith:IXIJAUUJ

pith:2009:IXIJAUUJNSSDW5ZPYAP2DC54O7

not attested not anchored not stored refs pending

A Note on Colored Tornheim's Double Series

Jianqiang Zhao

arxiv:0907.5106 v1 · 2009-07-29 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IXIJAUUJNSSDW5ZPYAP2DC54O7}

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	2026-05-18T04:25:51.138148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45d09052896ca43b772fc01fa18bbc77e41eb85323bc63f1e50651807996c79b

Aliases

arxiv: 0907.5106 · arxiv_version: 0907.5106v1 · doi: 10.48550/arxiv.0907.5106 · pith_short_12: IXIJAUUJNSSD · pith_short_16: IXIJAUUJNSSDW5ZP · pith_short_8: IXIJAUUJ

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/IXIJAUUJNSSDW5ZPYAP2DC54O7 \
  | 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: 45d09052896ca43b772fc01fa18bbc77e41eb85323bc63f1e50651807996c79b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc03c7a1963bd20bb01f017fb4bfd935a5781bdf82220720590885668f03806f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-07-29T11:18:03Z",
    "title_canon_sha256": "6c05ec2b42ced17914c99bedec280dcc1fc12e004e55f1136a0c0419f293fcf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5106",
    "kind": "arxiv",
    "version": 1
  }
}