Pith Number

pith:MGGWIYYU

pith:2011:MGGWIYYUNMC6LLT5OG45V6CJAS

not attested not anchored not stored refs pending

Phase Transitions and Backbones of the Asymmetric Traveling Salesman Problem

W. Zhang

arxiv:1107.0055 v1 · 2011-06-30 · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MGGWIYYUNMC6LLT5OG45V6CJAS}

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	2026-05-18T04:19:02.759693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

618d6463146b05e5ae7d71b9daf84904a0ae25fa30121749a1b49eeef9da0696

Aliases

arxiv: 1107.0055 · arxiv_version: 1107.0055v1 · doi: 10.48550/arxiv.1107.0055 · pith_short_12: MGGWIYYUNMC6 · pith_short_16: MGGWIYYUNMC6LLT5 · pith_short_8: MGGWIYYU

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/MGGWIYYUNMC6LLT5OG45V6CJAS \
  | 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: 618d6463146b05e5ae7d71b9daf84904a0ae25fa30121749a1b49eeef9da0696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e70e84fdcb1416cf3836d50df6640134cb14bde2dfe1b092133f51daf366a1a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2011-06-30T20:45:03Z",
    "title_canon_sha256": "48b7540c92712d6376d4ce45c3735d794470e90dc48b4e69626042b8bcd3bcaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0055",
    "kind": "arxiv",
    "version": 1
  }
}