Pith Number

pith:VR2F2JLS

pith:2017:VR2F2JLS7FOZJENJJVQG7H7ZDO

not attested not anchored not stored refs pending

Routeing properties in a Gibbsian model for highly dense multihop networks

Andr\'as T\'obi\'as, Wolfgang K\"onig

arxiv:1801.04985 v3 · 2017-12-20 · 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{VR2F2JLS7FOZJENJJVQG7H7ZDO}

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	2026-05-17T23:53:55.865426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac745d2572f95d9491a94d606f9ff91ba773b4ebab05c9d26d382ac88ccda6d0

Aliases

arxiv: 1801.04985 · arxiv_version: 1801.04985v3 · doi: 10.48550/arxiv.1801.04985 · pith_short_12: VR2F2JLS7FOZ · pith_short_16: VR2F2JLS7FOZJENJ · pith_short_8: VR2F2JLS

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/VR2F2JLS7FOZJENJJVQG7H7ZDO \
  | 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: ac745d2572f95d9491a94d606f9ff91ba773b4ebab05c9d26d382ac88ccda6d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61e3b474c7ca8092ee26dd573e165c2d57a373d3e643105d8d165c004c731758",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-12-20T17:25:42Z",
    "title_canon_sha256": "e41f140b72a463e29a7465da1720af60eb5186a2b713f1a05e75bd0e11f2d3d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04985",
    "kind": "arxiv",
    "version": 3
  }
}