Pith Number

pith:IBWDCCA7

pith:2026:IBWDCCA7APU7XTZLURUI4JLVNP

not attested not anchored not stored refs pending

Irreversibility from Self-Reference: Gradient Flow and an H-Theorem for a Self-Referential Statistical Operator Framework

Lucio Marassi

arxiv:2605.16400 v1 · 2026-05-12 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IBWDCCA7APU7XTZLURUI4JLVNP}

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	2026-05-20T00:02:20.368299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

406c31081f03e9fbcf2ba4688e25756be4c99304665bc3ed7add49f0f3c3e0de

Aliases

arxiv: 2605.16400 · arxiv_version: 2605.16400v1 · doi: 10.48550/arxiv.2605.16400 · pith_short_12: IBWDCCA7APU7 · pith_short_16: IBWDCCA7APU7XTZL · pith_short_8: IBWDCCA7

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/IBWDCCA7APU7XTZLURUI4JLVNP \
  | 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: 406c31081f03e9fbcf2ba4688e25756be4c99304665bc3ed7add49f0f3c3e0de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eecd6bfe08723a9b5527581a8235f249fbc35d325414dc14ad80651bd2c19bd3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-12T19:07:09Z",
    "title_canon_sha256": "4606274cafc2f1c0e2a9e2db868594bd4f2a7eda19ccbfa09b778b3ef93e6475"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16400",
    "kind": "arxiv",
    "version": 1
  }
}