Pith Number

pith:XOZXF2G5

pith:1998:XOZXF2G5RLD6Z2BDK7WN3G5TW4

not attested not anchored not stored refs pending

Modelling of Phase Separation in Alloys with Coherent Elastic Misfit

J. L. Lebowitz, O. Penrose, P. Fratzl

arxiv:math-ph/9811019 v1 · 1998-11-19 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOZXF2G5RLD6Z2BDK7WN3G5TW4}

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	2026-05-18T01:38:30.671703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbb372e8dd8ac7ece82357ecdd9bb3b713a84c583e6ca79b527b64ca6147df6a

Aliases

arxiv: math-ph/9811019 · arxiv_version: math-ph/9811019v1 · doi: 10.48550/arxiv.math-ph/9811019 · pith_short_12: XOZXF2G5RLD6 · pith_short_16: XOZXF2G5RLD6Z2BD · pith_short_8: XOZXF2G5

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/XOZXF2G5RLD6Z2BDK7WN3G5TW4 \
  | 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: bbb372e8dd8ac7ece82357ecdd9bb3b713a84c583e6ca79b527b64ca6147df6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "293d472295efe12ebcd41e6b0303c268a83379a58a1d44639c68efe60a7cab0d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1998-11-19T19:26:07Z",
    "title_canon_sha256": "c4717df0a39a7df82fd9d1c43a6b06708e7b6aff0a49f3c71bcc9c2fa076d5ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9811019",
    "kind": "arxiv",
    "version": 1
  }
}