Pith Number

pith:7YQPQDD4

pith:2016:7YQPQDD4YI7V63EINAGO5DJHN4

not attested not anchored not stored refs pending

A Look Back at the Ehrenfest Classification. Translation and Commentary of Ehrenfest's 1933 paper introducing the notion of phase transitions of different order

Tilman Sauer

arxiv:1612.03062 v1 · 2016-12-09 · physics.hist-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7YQPQDD4YI7V63EINAGO5DJHN4}

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	2026-05-18T00:45:44.284491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe20f80c7cc23f5f6c88680cee8d276f38728dbe96528b7a9b708870988b7768

Aliases

arxiv: 1612.03062 · arxiv_version: 1612.03062v1 · doi: 10.48550/arxiv.1612.03062 · pith_short_12: 7YQPQDD4YI7V · pith_short_16: 7YQPQDD4YI7V63EI · pith_short_8: 7YQPQDD4

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/7YQPQDD4YI7V63EINAGO5DJHN4 \
  | 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: fe20f80c7cc23f5f6c88680cee8d276f38728dbe96528b7a9b708870988b7768

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4bd68c03b69af153f00adbbf4876ddd0b2df78b621d29548cb2e5940ec3b00e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2016-12-09T15:37:35Z",
    "title_canon_sha256": "9322c764146ab8934e2458ff4c60ab9d0b27de8f3dd30ec64a86b1d96013e650"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03062",
    "kind": "arxiv",
    "version": 1
  }
}