Pith Number

pith:ODAWOLRT

pith:2016:ODAWOLRTDMRGODWTLYSHF6DHZX

not attested not anchored not stored refs pending

Ground States and Zero-Temperature Measures at the Boundary of Rotation Sets

Christian Wolf, Tamara Kucherenko

arxiv:1604.06512 v1 · 2016-04-21 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODAWOLRTDMRGODWTLYSHF6DHZX}

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	2026-05-18T01:16:28.877966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70c1672e331b22670ed35e2472f867cdc6818d307266509b2dcc75070c0031dd

Aliases

arxiv: 1604.06512 · arxiv_version: 1604.06512v1 · doi: 10.48550/arxiv.1604.06512 · pith_short_12: ODAWOLRTDMRG · pith_short_16: ODAWOLRTDMRGODWT · pith_short_8: ODAWOLRT

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/ODAWOLRTDMRGODWTLYSHF6DHZX \
  | 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: 70c1672e331b22670ed35e2472f867cdc6818d307266509b2dcc75070c0031dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40c345d05020fcdab7da2d9bb1aa1390442f517cc7cf5497f2272556d9db00c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-04-21T23:41:04Z",
    "title_canon_sha256": "b3e4e00527f025914391b4d3a1fb7742a830e280066ea0d8bcf3082eed43caa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06512",
    "kind": "arxiv",
    "version": 1
  }
}