Pith Number

pith:MR3TKYTN

pith:2001:MR3TKYTNTPWWXYOOD26WATY3MA

not attested not anchored not stored refs pending

Statistical Multifragmentation in Thermodynamical Limit: An Exact Solution for Phase Transitions

I.N. Mishustin, K. A. Bugaev, M. I. Gorenstein, W. Greiner

arxiv:nucl-th/0103075 v1 · 2001-03-28 · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MR3TKYTNTPWWXYOOD26WATY3MA}

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	2026-07-04T14:42:24.279884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

647735626d9bed6be1ce1ebd604f1b602b9533c82d8d67a4ba2d42e8a988f875

Aliases

arxiv: nucl-th/0103075 · arxiv_version: nucl-th/0103075v1 · doi: 10.48550/arxiv.nucl-th/0103075 · pith_short_12: MR3TKYTNTPWW · pith_short_16: MR3TKYTNTPWWXYOO · pith_short_8: MR3TKYTN

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/MR3TKYTNTPWWXYOOD26WATY3MA \
  | 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: 647735626d9bed6be1ce1ebd604f1b602b9533c82d8d67a4ba2d42e8a988f875

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b24b7bde96dbaf2f1a26934970f5408151dc94f67e89ef0254224e0b1de8341",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nucl-th",
    "submitted_at": "2001-03-28T22:03:51Z",
    "title_canon_sha256": "be16f436282b2f2c2632551333ffbd93953ebe6f4a248870b802afecf957f84e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nucl-th/0103075",
    "kind": "arxiv",
    "version": 1
  }
}