Pith Number

pith:3SJVVEVO

pith:2025:3SJVVEVORBRSWHPCAEZ5KAZSZM

not attested not anchored not stored refs pending

Reversible birth-and-death dynamics in continuum: free-energy dissipation and attractor properties

Alexander Zass, Benedikt Jahnel, Jonas K\"oppl, Yannic Steenbeck

arxiv:2508.21196 v1 · 2025-08-28 · 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{3SJVVEVORBRSWHPCAEZ5KAZSZM}

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	2026-07-05T12:01:29.810180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc935a92ae88632b1de20133d50332cb2bcb8f039698cbd180b3d03fad398b16

Aliases

arxiv: 2508.21196 · arxiv_version: 2508.21196v1 · doi: 10.48550/arxiv.2508.21196 · pith_short_12: 3SJVVEVORBRS · pith_short_16: 3SJVVEVORBRSWHPC · pith_short_8: 3SJVVEVO

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/3SJVVEVORBRSWHPCAEZ5KAZSZM \
  | 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: dc935a92ae88632b1de20133d50332cb2bcb8f039698cbd180b3d03fad398b16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32025a2d0683d9c8f522148f2c9935b3dd0921e71d27d64a4291fcb0634993c2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-08-28T20:24:35Z",
    "title_canon_sha256": "a232cd5bb01a777e31e8d741f428b2b38c32e23ee65efaed931cfff40d6f4a66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.21196",
    "kind": "arxiv",
    "version": 1
  }
}