Pith Number

pith:27NTWHJO

pith:2017:27NTWHJOSIUHGP6YSFETG66SVF

not attested not anchored not stored refs pending

A bound for the sum of heights on iterates in terms of a dynamical degree

Jorge Mello

arxiv:1707.07782 v2 · 2017-07-25 · math.NT · math.AG · 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{27NTWHJOSIUHGP6YSFETG66SVF}

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	2026-05-17T23:56:25.267745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7db3b1d2e9228733fd89149337bd2a97cce5a897cbce90031c8c8ea8817f4ce

Aliases

arxiv: 1707.07782 · arxiv_version: 1707.07782v2 · doi: 10.48550/arxiv.1707.07782 · pith_short_12: 27NTWHJOSIUH · pith_short_16: 27NTWHJOSIUHGP6Y · pith_short_8: 27NTWHJO

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/27NTWHJOSIUHGP6YSFETG66SVF \
  | 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: d7db3b1d2e9228733fd89149337bd2a97cce5a897cbce90031c8c8ea8817f4ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6580ed0d0d5a4d57d19fceddf352bc18f05739d3150c7805bf4c989eeb04d07e",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-25T01:22:11Z",
    "title_canon_sha256": "66f045a6c7b2db23199481e674272fdb420597eb84f7acf6feeabf7cb1e96719"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07782",
    "kind": "arxiv",
    "version": 2
  }
}