Pith Number

pith:QUMXRFE6

pith:2017:QUMXRFE6ILC2PWZIVAWRKVGSQH

not attested not anchored not stored refs pending

The cavity approach for Steiner trees packing problems

Alfredo Braunstein, Anna Paola Muntoni

arxiv:1712.07041 v3 · 2017-12-19 · cs.DS · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QUMXRFE6ILC2PWZIVAWRKVGSQH}

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	2026-05-17T23:57:03.145120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

851978949e42c5a7db28a82d1554d281df1a5a4d672079a9cb8fafac31d3be49

Aliases

arxiv: 1712.07041 · arxiv_version: 1712.07041v3 · doi: 10.48550/arxiv.1712.07041 · pith_short_12: QUMXRFE6ILC2 · pith_short_16: QUMXRFE6ILC2PWZI · pith_short_8: QUMXRFE6

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/QUMXRFE6ILC2PWZIVAWRKVGSQH \
  | 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: 851978949e42c5a7db28a82d1554d281df1a5a4d672079a9cb8fafac31d3be49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e5781f4d8c1540223e740f14a3a384eea3c62d0614b7d4afc46858775975572",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2017-12-19T16:48:47Z",
    "title_canon_sha256": "35ced3468ce9438826255fce2effe97d81eeb89b0ebadd1b9a3d87a399f39f84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07041",
    "kind": "arxiv",
    "version": 3
  }
}