Pith Number

pith:67NPHY7M

pith:2016:67NPHY7MSF2VJZHNQ6Z2GQHB7O

not attested not anchored not stored refs pending

Persistent Markov partitions and hyperbolic components of rational maps

Mary Rees

arxiv:1608.01199 v2 · 2016-08-03 · 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{67NPHY7MSF2VJZHNQ6Z2GQHB7O}

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	2026-05-18T00:31:42.096023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7daf3e3ec917554e4ed87b3a340e1fb85a727080356997b66277d23a9a695de

Aliases

arxiv: 1608.01199 · arxiv_version: 1608.01199v2 · doi: 10.48550/arxiv.1608.01199 · pith_short_12: 67NPHY7MSF2V · pith_short_16: 67NPHY7MSF2VJZHN · pith_short_8: 67NPHY7M

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/67NPHY7MSF2VJZHNQ6Z2GQHB7O \
  | 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: f7daf3e3ec917554e4ed87b3a340e1fb85a727080356997b66277d23a9a695de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "087dc43cf1bcc3baade8ca80f3333ae2300c36b0afb3c2e51b925b1fd7823de6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-08-03T14:19:23Z",
    "title_canon_sha256": "7958323ab41c850ec7e25816b671512c7507edb3aae6ba0bc580510e9cf2269a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01199",
    "kind": "arxiv",
    "version": 2
  }
}