Pith Number

pith:RTBBM4CK

pith:2020:RTBBM4CK34JFSV4XJEJYC75X7T

not attested not anchored not stored refs pending

The geometry of some thermodynamic systems

Alexandre Anahory Simoes, David Mart\'in de Diego, Manuel de Le\'on, Manuel Lainz Valc\'azar

arxiv:2012.07404 v1 · 2020-12-14 · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RTBBM4CK34JFSV4XJEJYC75X7T}

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	2026-07-05T01:59:20.272203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cc216704adf125957974913817fb7fcd6acb7267503b1cbf7a9aa06294c878b

Aliases

arxiv: 2012.07404 · arxiv_version: 2012.07404v1 · doi: 10.48550/arxiv.2012.07404 · pith_short_12: RTBBM4CK34JF · pith_short_16: RTBBM4CK34JFSV4X · pith_short_8: RTBBM4CK

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/RTBBM4CK34JFSV4XJEJYC75X7T \
  | 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: 8cc216704adf125957974913817fb7fcd6acb7267503b1cbf7a9aa06294c878b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6686c8c9fa32f34591a78bde1d1e7d770e7f744ba738121cbc593b2c8c0ed2e",
    "cross_cats_sorted": [
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-12-14T10:46:44Z",
    "title_canon_sha256": "11d670ffc01422ef3205966706f8e17d3269fc943d460855ddc3f4d4e98a44b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.07404",
    "kind": "arxiv",
    "version": 1
  }
}