Pith Number

pith:7DIA5KJD

pith:2016:7DIA5KJDNKQCRRH2QNPYTAX5N7

not attested not anchored not stored refs pending

Bounds on the Lambert function and their application to the outage analysis of user cooperation

Ioannis Chatzigeorgiou

arxiv:1601.04895 v1 · 2016-01-19 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7DIA5KJDNKQCRRH2QNPYTAX5N7}

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	2026-05-18T01:22:31.603508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8d00ea9236aa028c4fa835f8982fd6fdb96d8dcd9cff6b39409c38383d539c6

Aliases

arxiv: 1601.04895 · arxiv_version: 1601.04895v1 · doi: 10.48550/arxiv.1601.04895 · pith_short_12: 7DIA5KJDNKQC · pith_short_16: 7DIA5KJDNKQCRRH2 · pith_short_8: 7DIA5KJD

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/7DIA5KJDNKQCRRH2QNPYTAX5N7 \
  | 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: f8d00ea9236aa028c4fa835f8982fd6fdb96d8dcd9cff6b39409c38383d539c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d756bb0ca89cb68214fe0e85f23bd7e9b58e22e7fc6eb557b9df020784fe5fd",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-01-19T12:39:17Z",
    "title_canon_sha256": "239291c8309f00556e7e6b370aec4517dd497d9384b508217e2d4229446a7ab8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04895",
    "kind": "arxiv",
    "version": 1
  }
}