Pith Number

pith:TXK6EJQO

pith:2008:TXK6EJQOXTBMKOZPZDET576ETT

not attested not anchored not stored refs pending

A note on the relationship between the Graphical Traveling Salesman Polyhedron, the Symmetric Traveling Salesman Polytope, and the Metric Cone

Dirk Oliver Theis

arxiv:0801.1652 v2 · 2008-01-10 · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXK6EJQOXTBMKOZPZDET576ETT}

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	2026-05-18T04:16:32.527276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dd5e2260ebcc2c53b2fc8c93effc49cc7166439c8d0813f808ff0e9c3691ae9

Aliases

arxiv: 0801.1652 · arxiv_version: 0801.1652v2 · doi: 10.48550/arxiv.0801.1652 · pith_short_12: TXK6EJQOXTBM · pith_short_16: TXK6EJQOXTBMKOZP · pith_short_8: TXK6EJQO

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/TXK6EJQOXTBMKOZPZDET576ETT \
  | 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: 9dd5e2260ebcc2c53b2fc8c93effc49cc7166439c8d0813f808ff0e9c3691ae9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a97875e323f2e88942a8fe5c5ee7186b2d6eb77d35b33f3a4d7dd8b60fedc9ca",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-01-10T18:35:03Z",
    "title_canon_sha256": "a41e42e39b9679362c1c1aa52783b61bc5776ea03f23b19aa65308c32ccc8e26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.1652",
    "kind": "arxiv",
    "version": 2
  }
}