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Pith Number

pith:E5UR5MOE

pith:2018:E5UR5MOEAYNRBILZXO66Y4KJDX
not attested not anchored not stored refs pending

Finding Exact Forms on Thermodynamic Manifolds

Chao Ju, Mark Stalzer

arxiv:1808.03863 v2 · 2018-08-11 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{E5UR5MOEAYNRBILZXO66Y4KJDX}

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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 2026-05-18T00:04:55.088240Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

27691eb1c4061b10a179bbbdec71491df5100e37c6d4c41b10b6c8a0d08940e1

Aliases

arxiv: 1808.03863 · arxiv_version: 1808.03863v2 · doi: 10.48550/arxiv.1808.03863 · pith_short_12: E5UR5MOEAYNR · pith_short_16: E5UR5MOEAYNRBILZ · pith_short_8: E5UR5MOE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/E5UR5MOEAYNRBILZXO66Y4KJDX \
  | 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: 27691eb1c4061b10a179bbbdec71491df5100e37c6d4c41b10b6c8a0d08940e1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "de33b2f999e9d6fa2fa7b8e6085aadb108459292c1680468dd035c60cc7b82e8",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-08-11T20:52:55Z",
    "title_canon_sha256": "c580a22af3d226390f5f5c8a0b06be3025c5641017351bf6541cc959d2ec46ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03863",
    "kind": "arxiv",
    "version": 2
  }
}