Pith Number

pith:2STHHE4F

pith:2015:2STHHE4FDSICBQAHKADQB6OBLA

not attested not anchored not stored refs pending

Phase Transitions of Traveling Salesperson Problems solved with Linear Programming and Cutting Planes

Alexander K. Hartmann, Hendrik Schawe

arxiv:1512.08554 v1 · 2015-12-28 · cond-mat.dis-nn · cond-mat.stat-mech · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2STHHE4FDSICBQAHKADQB6OBLA}

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	2026-05-18T01:02:13.371087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4a67393851c9020c007500700f9c1581e96fe333bdc8eee6a41ccd7b1fe22a2

Aliases

arxiv: 1512.08554 · arxiv_version: 1512.08554v1 · doi: 10.48550/arxiv.1512.08554 · pith_short_12: 2STHHE4FDSIC · pith_short_16: 2STHHE4FDSICBQAH · pith_short_8: 2STHHE4F

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/2STHHE4FDSICBQAHKADQB6OBLA \
  | 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: d4a67393851c9020c007500700f9c1581e96fe333bdc8eee6a41ccd7b1fe22a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "797f36981e20aba9b084a46de5e8e0df6a40e25ec5c150c495e99eb55ea52cbb",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2015-12-28T23:10:18Z",
    "title_canon_sha256": "c74cf2b1cfdebe3398ffcbd59fda72bd4b5e9694df4b42967f04603c61c573ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08554",
    "kind": "arxiv",
    "version": 1
  }
}