Pith Number

pith:PUVHHUKZ

pith:2024:PUVHHUKZCDKYU3LSJS3PZ6SWMG

not attested not anchored not stored refs pending

Emptiness Instanton in Quantum Polytropic Gas

Alexander G. Abanov, Dimitri M. Gangardt

arxiv:2412.11686 v3 · 2024-12-16 · cond-mat.stat-mech · math-ph · math.MP · nlin.PS · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PUVHHUKZCDKYU3LSJS3PZ6SWMG}

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	2026-07-05T10:45:58.454264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d2a73d15910d58a6d724cb6fcfa5661aaf5b85555d00a09c51713cff59836a5

Aliases

arxiv: 2412.11686 · arxiv_version: 2412.11686v3 · doi: 10.48550/arxiv.2412.11686 · pith_short_12: PUVHHUKZCDKY · pith_short_16: PUVHHUKZCDKYU3LS · pith_short_8: PUVHHUKZ

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/PUVHHUKZCDKYU3LSJS3PZ6SWMG \
  | 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: 7d2a73d15910d58a6d724cb6fcfa5661aaf5b85555d00a09c51713cff59836a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fb301db317e2a9e82eea8e727b91462ca0fabc772390a4c6ad2eae572c9e2b7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.PS",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2024-12-16T11:58:51Z",
    "title_canon_sha256": "fbbf92cb5d8322291bdfaa68a0bebc49dfe61e17903c4221c3a6adf6be2dfaca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.11686",
    "kind": "arxiv",
    "version": 3
  }
}