Pith Number

pith:I42H3T4O

pith:2016:I42H3T4OTQRR5ZDISV3RR2ZCZP

not attested not anchored not stored refs pending

The Conditional Variational Principle for Maps with the Pseudo-orbit Tracing Property

Ercai Chen, Zheng Yin

arxiv:1610.09106 v1 · 2016-10-28 · 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{I42H3T4OTQRR5ZDISV3RR2ZCZP}

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	2026-05-18T01:00:59.114448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47347dcf8e9c231ee468957718eb22cbf29079a03654ae58c6168fc0a2b893ac

Aliases

arxiv: 1610.09106 · arxiv_version: 1610.09106v1 · doi: 10.48550/arxiv.1610.09106 · pith_short_12: I42H3T4OTQRR · pith_short_16: I42H3T4OTQRR5ZDI · pith_short_8: I42H3T4O

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/I42H3T4OTQRR5ZDISV3RR2ZCZP \
  | 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: 47347dcf8e9c231ee468957718eb22cbf29079a03654ae58c6168fc0a2b893ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76490b8f5d929f1d761749d0d6d132a1a38061452bab6c4f39cbf5024a40620b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-28T08:00:50Z",
    "title_canon_sha256": "0174189fe1a110ab06c959e32c00080d1415a82824270780472813fafefe4cd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09106",
    "kind": "arxiv",
    "version": 1
  }
}