Pith Number

pith:M6HJV2OB

pith:2016:M6HJV2OBA4MRDWDMS7MB3QMY4P

not attested not anchored not stored refs pending

Densification and Structural Transitions in Networks that Grow by Node Copying

P. L. Krapivsky, R. Lambiotte, S. Redner, U. Bhat

arxiv:1610.01662 v1 · 2016-10-05 · cond-mat.stat-mech · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M6HJV2OBA4MRDWDMS7MB3QMY4P}

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	2026-05-18T00:55:07.344908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

678e9ae9c1071911d86c97d81dc198e3e7b9dde352bc47e380b513926520dd4e

Aliases

arxiv: 1610.01662 · arxiv_version: 1610.01662v1 · doi: 10.48550/arxiv.1610.01662 · pith_short_12: M6HJV2OBA4MR · pith_short_16: M6HJV2OBA4MRDWDM · pith_short_8: M6HJV2OB

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/M6HJV2OBA4MRDWDMS7MB3QMY4P \
  | 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: 678e9ae9c1071911d86c97d81dc198e3e7b9dde352bc47e380b513926520dd4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48e2041a568cf618065556eb241d8248159258d278dc5881d765e0360a5597e7",
    "cross_cats_sorted": [
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-10-05T21:37:21Z",
    "title_canon_sha256": "dd920f5cbcf988c95284c849513ff229e5363154830fa6eb208741537a405908"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01662",
    "kind": "arxiv",
    "version": 1
  }
}