Pith Number

pith:XKTANHF6

pith:2025:XKTANHF6KNAC2M7HSTZQ6KXVAU

not attested not anchored not stored refs pending

Vector fields as a framework for modelling the mobility of commodities

Ang\'elica S. da Mata, Mariana Macedo, Ronaldo Menezes, Sima Farokhnejad

arxiv:2506.02047 v1 · 2025-05-31 · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XKTANHF6KNAC2M7HSTZQ6KXVAU}

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	2026-07-05T11:14:31.393092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baa6069cbe53402d33e794f30f2af505106587841537fe889f95b86edb9aaf6c

Aliases

arxiv: 2506.02047 · arxiv_version: 2506.02047v1 · doi: 10.48550/arxiv.2506.02047 · pith_short_12: XKTANHF6KNAC · pith_short_16: XKTANHF6KNAC2M7H · pith_short_8: XKTANHF6

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/XKTANHF6KNAC2M7HSTZQ6KXVAU \
  | 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: baa6069cbe53402d33e794f30f2af505106587841537fe889f95b86edb9aaf6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91a3b457ecf46a3603dc1ff1e19d3e295d51b0f3d0d3f3d112fa8f85d30844b5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2025-05-31T23:30:22Z",
    "title_canon_sha256": "c142db5faef5e20a1caa79ef9293d9cadae0e821b267749cd4d72c657cee80fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02047",
    "kind": "arxiv",
    "version": 1
  }
}