Pith Number

pith:ZTJUXWZL

pith:2008:ZTJUXWZLSGX6DE2LMYFCBEY4CA

not attested not anchored not stored refs pending

Breathing patterns in nonlinear relaxation

Justin Holmer, Maciej Zworski

arxiv:0809.1842 v1 · 2008-09-10 · math.AP · 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{ZTJUXWZLSGX6DE2LMYFCBEY4CA}

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	2026-05-18T02:15:34.958335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccd34bdb2b91afe1934b660a20931c10225ecfa42a3eed04451c060762523bd9

Aliases

arxiv: 0809.1842 · arxiv_version: 0809.1842v1 · doi: 10.48550/arxiv.0809.1842 · pith_short_12: ZTJUXWZLSGX6 · pith_short_16: ZTJUXWZLSGX6DE2L · pith_short_8: ZTJUXWZL

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/ZTJUXWZLSGX6DE2LMYFCBEY4CA \
  | 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: ccd34bdb2b91afe1934b660a20931c10225ecfa42a3eed04451c060762523bd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bde66b72251f661baafab5b853b6ff83dfe7d8c37a55e54fd13b745d6bab26d9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-09-10T17:17:23Z",
    "title_canon_sha256": "42d5c859df0c2fd44bd3b09dabdba760e1600dfaae933f011ad796bdd7b89e7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.1842",
    "kind": "arxiv",
    "version": 1
  }
}