Pith Number

pith:JU5WKCKM

pith:2017:JU5WKCKMZYDFKO52PBDXGCCI33

not attested not anchored not stored refs pending

Equilibrium states at freezing phase transition in unimodal maps with flat critical point

Hiroki Takahasi

arxiv:1707.06435 v2 · 2017-07-20 · 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{JU5WKCKMZYDFKO52PBDXGCCI33}

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	2026-05-18T00:36:13.817289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d3b65094cce06553bba7847730848dec35d97ff69ba1daa33896067af8e8f40

Aliases

arxiv: 1707.06435 · arxiv_version: 1707.06435v2 · doi: 10.48550/arxiv.1707.06435 · pith_short_12: JU5WKCKMZYDF · pith_short_16: JU5WKCKMZYDFKO52 · pith_short_8: JU5WKCKM

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/JU5WKCKMZYDFKO52PBDXGCCI33 \
  | 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: 4d3b65094cce06553bba7847730848dec35d97ff69ba1daa33896067af8e8f40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4705e0278aadc77b6a2117ca159735274fa7cc933cfe7a990f6310a9619603e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-07-20T10:00:05Z",
    "title_canon_sha256": "3a3c97c4b5766b6e2e30bbd6f9eddc02352137652026f4c5dbeb1701f4beb361"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06435",
    "kind": "arxiv",
    "version": 2
  }
}