Pith Number

pith:PGCF3JAA

pith:2015:PGCF3JAAW6X4NNQJMUVO5A56I2

not attested not anchored not stored refs pending

The Global Packing Number for an Optical Network

Hung-Lin Fu, Wing Shing Wong, Yijin Zhang, Yuan-Hsun Lo

arxiv:1509.07029 v1 · 2015-09-23 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGCF3JAAW6X4NNQJMUVO5A56I2}

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	2026-05-18T01:32:17.151075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79845da400b7afc6b609652aee83be4681fe1a7ee0e76779801bf32c4a932e06

Aliases

arxiv: 1509.07029 · arxiv_version: 1509.07029v1 · doi: 10.48550/arxiv.1509.07029 · pith_short_12: PGCF3JAAW6X4 · pith_short_16: PGCF3JAAW6X4NNQJ · pith_short_8: PGCF3JAA

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/PGCF3JAAW6X4NNQJMUVO5A56I2 \
  | 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: 79845da400b7afc6b609652aee83be4681fe1a7ee0e76779801bf32c4a932e06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5415346e0e0c685cc6e1506bd6530e292d5b61d8ec11bc125431a6af091c927d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-09-23T15:24:57Z",
    "title_canon_sha256": "b5acdfdefab6af266b6e61c0cbb97b48327734500933a9b046ae928fda6dcba5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07029",
    "kind": "arxiv",
    "version": 1
  }
}