Pith Number

pith:6TTGID6E

pith:2016:6TTGID6ERASBM6ZYZKVC3P3SZI

not attested not anchored not stored refs pending

Monotonicity of entropy and positively oriented transversality for families of interval maps

Genadi Levin, Sebastian van Strien, Weixiao Shen

arxiv:1611.10056 v1 · 2016-11-30 · 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{6TTGID6ERASBM6ZYZKVC3P3SZI}

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	2026-05-18T00:56:11.300842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4e6640fc48824167b38caaa2dbf72ca05274e697055576a15f9f0733c12d283

Aliases

arxiv: 1611.10056 · arxiv_version: 1611.10056v1 · doi: 10.48550/arxiv.1611.10056 · pith_short_12: 6TTGID6ERASB · pith_short_16: 6TTGID6ERASBM6ZY · pith_short_8: 6TTGID6E

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/6TTGID6ERASBM6ZYZKVC3P3SZI \
  | 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: f4e6640fc48824167b38caaa2dbf72ca05274e697055576a15f9f0733c12d283

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fdb7c84fecc581691f8307b952e384aa600ed41971213c1692f6c6fe47b08b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-11-30T09:09:06Z",
    "title_canon_sha256": "c5aa09d7724e68d8fd135792f839d739c203e4bf325647bb89272bc5987db18a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.10056",
    "kind": "arxiv",
    "version": 1
  }
}