Pith Number

pith:YXVNPZY7

pith:2017:YXVNPZY7K4LZ4FJQPEREE7WG5J

not attested not anchored not stored refs pending

The pressure function for infinite equilibrium measures

Dalia Terhesiu, Henk Bruin, Mike Todd

arxiv:1711.05069 v3 · 2017-11-14 · 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{YXVNPZY7K4LZ4FJQPEREE7WG5J}

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	2026-05-18T00:03:49.909692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5ead7e71f57179e15307922427ec6ea5fcb1e50e6ca63b7dc50f52da809e627

Aliases

arxiv: 1711.05069 · arxiv_version: 1711.05069v3 · doi: 10.48550/arxiv.1711.05069 · pith_short_12: YXVNPZY7K4LZ · pith_short_16: YXVNPZY7K4LZ4FJQ · pith_short_8: YXVNPZY7

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/YXVNPZY7K4LZ4FJQPEREE7WG5J \
  | 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: c5ead7e71f57179e15307922427ec6ea5fcb1e50e6ca63b7dc50f52da809e627

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f805f60625c9c021d93ce8d00c1adefaf94808882d9e2ffaa1e53e408c44099",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-11-14T12:02:25Z",
    "title_canon_sha256": "99869b1bb06957b9f46af41aeb5b3f62d3a97be3a1dcd5a43e60031b9f03d90b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05069",
    "kind": "arxiv",
    "version": 3
  }
}