Pith Number

pith:I3VYIUZN

pith:2015:I3VYIUZNLBVFIES6DQM6LZPUBB

not attested not anchored not stored refs pending

On Multi-source Networks: Enumeration, Rate Region Computation, and Hierarchy

Congduan Li, John MacLaren Walsh, Steven Weber

arxiv:1507.05728 v1 · 2015-07-21 · 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{I3VYIUZNLBVFIES6DQM6LZPUBB}

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	2026-05-18T01:36:32.645778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46eb84532d586a54125e1c19e5e5f40865a6514ef3687efe32ca1f53c11bea36

Aliases

arxiv: 1507.05728 · arxiv_version: 1507.05728v1 · doi: 10.48550/arxiv.1507.05728 · pith_short_12: I3VYIUZNLBVF · pith_short_16: I3VYIUZNLBVFIES6 · pith_short_8: I3VYIUZN

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/I3VYIUZNLBVFIES6DQM6LZPUBB \
  | 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: 46eb84532d586a54125e1c19e5e5f40865a6514ef3687efe32ca1f53c11bea36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dea28515ac6339b0bab2ff6696ebd89a2375a1e9a600b37cf84c5148f09f5619",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-07-21T07:27:36Z",
    "title_canon_sha256": "50553b11ee01ce68ebceffaa182f796dde2b8ab96ced802ef67348a2816ef69f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05728",
    "kind": "arxiv",
    "version": 1
  }
}