Pith Number

pith:BJVPOH4P

pith:2019:BJVPOH4P2EZGG2CIOGCLWVM5T2

not attested not anchored not stored refs pending

Efficiency and shrinking in evolving networks

Arianna Bottinelli, Marc Barthelemy, Marco Gherardi

arxiv:1902.06063 v1 · 2019-02-16 · physics.soc-ph · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BJVPOH4P2EZGG2CIOGCLWVM5T2}

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	2026-05-17T23:40:08.776789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a6af71f8fd1326368487184bb559d9e9202a80a20ff36309fe7c2644ee60c58

Aliases

arxiv: 1902.06063 · arxiv_version: 1902.06063v1 · doi: 10.48550/arxiv.1902.06063 · pith_short_12: BJVPOH4P2EZG · pith_short_16: BJVPOH4P2EZGG2CI · pith_short_8: BJVPOH4P

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/BJVPOH4P2EZGG2CIOGCLWVM5T2 \
  | 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: 0a6af71f8fd1326368487184bb559d9e9202a80a20ff36309fe7c2644ee60c58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11f820b410d8273200a91f34a3b01f5906252652d00d91687acc05bd27181aff",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2019-02-16T08:09:00Z",
    "title_canon_sha256": "fa153ce6e42d6702fde15c0dd65f61901f18cf1ae501e3827ad3ef33a9f60bd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06063",
    "kind": "arxiv",
    "version": 1
  }
}