Pith Number

pith:JJAEJUPP

pith:2021:JJAEJUPPTITEWJ3C7GWASIWL4P

not attested not anchored not stored refs pending

Approximate symmetries, pseudo-Goldstones, and the second law of thermodynamics

Akash Jain, Jay Armas, Ruben Lier

arxiv:2112.14373 v2 · 2021-12-29 · hep-th · cond-mat.soft · cond-mat.str-el · hep-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{JJAEJUPPTITEWJ3C7GWASIWL4P}

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.

Cited by

2 papers in Pith

Fractonic solids

Linear response beyond hydrodynamic poles

Receipt and verification

First computed	2026-07-05T07:01:23.384030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a4044d1ef9a264b2762f9ac0922cbe3c4ebc75b40e5c02a87264dd1b68da491

Aliases

arxiv: 2112.14373 · arxiv_version: 2112.14373v2 · doi: 10.48550/arxiv.2112.14373 · pith_short_12: JJAEJUPPTITE · pith_short_16: JJAEJUPPTITEWJ3C · pith_short_8: JJAEJUPP

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/JJAEJUPPTITEWJ3C7GWASIWL4P \
  | 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: 4a4044d1ef9a264b2762f9ac0922cbe3c4ebc75b40e5c02a87264dd1b68da491

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56b50ee8bd8c15b196ec087bb52311c50d5e9f3437eb5f60443e677c024bb8f3",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "cond-mat.str-el",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-12-29T03:01:13Z",
    "title_canon_sha256": "4e091a16b359f6c037cb8b793933cac3206a2caaa24db747dfddb72f3b6bc5ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.14373",
    "kind": "arxiv",
    "version": 2
  }
}