Pith Number

pith:ZN5D4MOR

pith:2013:ZN5D4MORSGUUSDQBJGOBMHLLB6

not attested not anchored not stored refs pending

Redefining the Attraction Measure, Scaling Exponent and Impedance Function of the Gravity Model

Feng Xu, Yanguang Chen

arxiv:1306.3822 v1 · 2013-06-17 · 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{ZN5D4MORSGUUSDQBJGOBMHLLB6}

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	2026-05-18T03:20:46.293652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb7a3e31d191a9490e01499c161d6b0fab48a15c7595424cd2cb082b472eee11

Aliases

arxiv: 1306.3822 · arxiv_version: 1306.3822v1 · doi: 10.48550/arxiv.1306.3822 · pith_short_12: ZN5D4MORSGUU · pith_short_16: ZN5D4MORSGUUSDQB · pith_short_8: ZN5D4MOR

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/ZN5D4MORSGUUSDQBJGOBMHLLB6 \
  | 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: cb7a3e31d191a9490e01499c161d6b0fab48a15c7595424cd2cb082b472eee11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddf0358ab657b49596ab3f580a4349953f23b23b59cd4b0c6ad2557c5cb33cd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2013-06-17T11:49:41Z",
    "title_canon_sha256": "5bb66e228f50b48e5045e4d976376dd5aea4f3f58ebd0be0339db4a605bba4f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3822",
    "kind": "arxiv",
    "version": 1
  }
}