Pith Number

pith:4UVKZ722

pith:2026:4UVKZ722MPOQADMOA66KN3GX43

not attested not anchored not stored refs pending

Diffuse Interface Energies with Microscopic Heterogeneities II: Rare Events

Christian Wagner, Peter S. Morfe

arxiv:2606.17968 v1 · 2026-06-16 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4UVKZ722MPOQADMOA66KN3GX43}

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	2026-06-19T16:10:44.772639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e52aacff5a63dd000d8e07bca6ecd7e6ed49f8221b77277ddd944a12606194f4

Aliases

arxiv: 2606.17968 · arxiv_version: 2606.17968v1 · doi: 10.48550/arxiv.2606.17968 · pith_short_12: 4UVKZ722MPOQ · pith_short_16: 4UVKZ722MPOQADMO · pith_short_8: 4UVKZ722

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/4UVKZ722MPOQADMOA66KN3GX43 \
  | 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: e52aacff5a63dd000d8e07bca6ecd7e6ed49f8221b77277ddd944a12606194f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afa402cef8ff5d9496c9c4ae4596b19f93fffdecdfbdade7f6cdfdf7c4d897f9",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-16T14:21:29Z",
    "title_canon_sha256": "5dcf0290f808715c8badd32ebdd20eb06419c2de81da5e721b1b51dda28341b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17968",
    "kind": "arxiv",
    "version": 1
  }
}