Pith Number

pith:M5WN54ZV

pith:2017:M5WN54ZVX4DLAXT3RSWQQ6J6XB

not attested not anchored not stored refs pending

The Dynamical Manin-Mumford Conjecture and the Dynamical Bogomolov Conjecture for endomorphisms of (P^1)^n

Dragos Ghioca, Hexi Ye, Khoa D. Nguyen

arxiv:1705.04873 v1 · 2017-05-13 · 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{M5WN54ZVX4DLAXT3RSWQQ6J6XB}

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	2026-05-17T23:53:12.759839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

676cdef335bf06b05e7b8cad08793eb87cf3b3d0f79e51a476f7a680d6fb79d4

Aliases

arxiv: 1705.04873 · arxiv_version: 1705.04873v1 · doi: 10.48550/arxiv.1705.04873 · pith_short_12: M5WN54ZVX4DL · pith_short_16: M5WN54ZVX4DLAXT3 · pith_short_8: M5WN54ZV

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/M5WN54ZVX4DLAXT3RSWQQ6J6XB \
  | 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: 676cdef335bf06b05e7b8cad08793eb87cf3b3d0f79e51a476f7a680d6fb79d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9428dd7891874c11664fcb65ca6982ae81f57c7b31440cb64b7639e1d0813c8e",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-05-13T18:45:40Z",
    "title_canon_sha256": "0c8e2184495dcd2d0b880138d05b48e7d65168655b5da29c307aaace642b58dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04873",
    "kind": "arxiv",
    "version": 1
  }
}