Pith Number

pith:VV26P4HV

pith:2015:VV26P4HVVE4I7LTHTAXFRCR66Z

not attested not anchored not stored refs pending

Trajectories entropy in dynamical graphs with memory

Francesco Caravelli

arxiv:1511.07135 v4 · 2015-11-23 · physics.soc-ph · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VV26P4HVVE4I7LTHTAXFRCR66Z}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:11:57.743107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad75e7f0f5a9388fae67982e588a3ef67378243e515fd3d054e72a70974510de

Aliases

arxiv: 1511.07135 · arxiv_version: 1511.07135v4 · doi: 10.48550/arxiv.1511.07135 · pith_short_12: VV26P4HVVE4I · pith_short_16: VV26P4HVVE4I7LTH · pith_short_8: VV26P4HV

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/VV26P4HVVE4I7LTHTAXFRCR66Z \
  | 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: ad75e7f0f5a9388fae67982e588a3ef67378243e515fd3d054e72a70974510de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f78c9369633175a04c1463edace60a50829dc5eee1af68363be4607b1c472e04",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-11-23T08:32:14Z",
    "title_canon_sha256": "39d2ab1795661cc512d728debf4c8a9047328ec81a8fe312b0624d2fb484c95f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07135",
    "kind": "arxiv",
    "version": 4
  }
}