Pith Number

pith:MPNCWUB3

pith:2015:MPNCWUB3PW3DM5PM7HWZI3DMJK

not attested not anchored not stored refs pending

The Hall-Petch effect as a manifestation of the general size effect

Andy J. Bushby, David J. Dunstan, Yuan Li

arxiv:1507.01223 v1 · 2015-07-05 · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPNCWUB3PW3DM5PM7HWZI3DMJK}

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	2026-05-18T01:03:53.024412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63da2b503b7db63675ecf9ed946c6c4aad625dc801611b89126677d3f213fcd2

Aliases

arxiv: 1507.01223 · arxiv_version: 1507.01223v1 · doi: 10.48550/arxiv.1507.01223 · pith_short_12: MPNCWUB3PW3D · pith_short_16: MPNCWUB3PW3DM5PM · pith_short_8: MPNCWUB3

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/MPNCWUB3PW3DM5PM7HWZI3DMJK \
  | 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: 63da2b503b7db63675ecf9ed946c6c4aad625dc801611b89126677d3f213fcd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e835dabc42161639d07f37c223813c9d81a9b3ac0715cde65aa6553b8cf3a0a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2015-07-05T14:00:39Z",
    "title_canon_sha256": "c081075728234a843972859351e9c6cc2a4ab875288f37fc961aa8ad77bbdd82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01223",
    "kind": "arxiv",
    "version": 1
  }
}