Pith Number

pith:TMTAZHTF

pith:2015:TMTAZHTFCP7UYFXUHYUW7ENA7J

not attested not anchored not stored refs pending

Unique equilibrium states for flows and homeomorphisms with non-uniform structure

Daniel J. Thompson, Vaughn Climenhaga

arxiv:1505.03803 v2 · 2015-05-14 · 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{TMTAZHTFCP7UYFXUHYUW7ENA7J}

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	2026-05-18T00:32:15.450690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b260c9e6513ff4c16f43e296f91a0fa6f837a3b8bf3466f01288b38391fe13f

Aliases

arxiv: 1505.03803 · arxiv_version: 1505.03803v2 · doi: 10.48550/arxiv.1505.03803 · pith_short_12: TMTAZHTFCP7U · pith_short_16: TMTAZHTFCP7UYFXU · pith_short_8: TMTAZHTF

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/TMTAZHTFCP7UYFXUHYUW7ENA7J \
  | 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: 9b260c9e6513ff4c16f43e296f91a0fa6f837a3b8bf3466f01288b38391fe13f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c40caef8b890ccc5db0ba6ddd86299eccb440aa360dad8e6b0a64ad7aca0024e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-05-14T17:21:44Z",
    "title_canon_sha256": "cbb1a19ac155132b0ac3b47e7e304673402b51d2adb8e703be77fb38f43c65c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03803",
    "kind": "arxiv",
    "version": 2
  }
}