Pith Number

pith:QQGYEVW3

pith:2014:QQGYEVW32PWCSHLQZG5WAQKI4J

not attested not anchored not stored refs pending

Thermodynamics of Towers of Hyperbolic Type

Ke Zhang, Samuel Senti, Yakov Pesin

arxiv:1403.2989 v2 · 2014-03-12 · 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{QQGYEVW32PWCSHLQZG5WAQKI4J}

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	2026-05-18T01:18:10.374768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

840d8256dbd3ec291d70c9bb604148e24e57ec96b433d6db9c360eed41b3fc78

Aliases

arxiv: 1403.2989 · arxiv_version: 1403.2989v2 · doi: 10.48550/arxiv.1403.2989 · pith_short_12: QQGYEVW32PWC · pith_short_16: QQGYEVW32PWCSHLQ · pith_short_8: QQGYEVW3

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/QQGYEVW32PWCSHLQZG5WAQKI4J \
  | 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: 840d8256dbd3ec291d70c9bb604148e24e57ec96b433d6db9c360eed41b3fc78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6836544d8b27c44aba85b2921bbd84fba66e794cae0755668a7cdb2b0837d441",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-03-12T15:53:02Z",
    "title_canon_sha256": "202ae4f4db1763e362a89cdb0aadae53b13056b64c1b7b32fc97dd2f988b01cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2989",
    "kind": "arxiv",
    "version": 2
  }
}